Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2152942877', 'doi': 'https://doi.org/10.4171/cmh/121', 'title': 'Cluster mutation via quiver representations', 'display_name': 'Cluster mutation via quiver representations', 'publication_year': 2008, 'publication_date': '2008-03-31', 'ids': {'openalex': 'https://openalex.org/W2152942877', 'doi': 'https://doi.org/10.4171/cmh/121', 'mag': '2152942877'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4171/cmh/121', 'pdf_url': 'https://ems.press/content/serial-article-files/1603', 'source': {'id': 'https://openalex.org/S175700853', 'display_name': 'Commentarii Mathematici Helvetici', 'issn_l': '0010-2571', 'issn': ['0010-2571', '1420-8946'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316982', 'host_organization_name': 'European Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310316982'], 'host_organization_lineage_names': ['European Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://ems.press/content/serial-article-files/1603', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5078774445', 'display_name': 'Aslak Bakke Buan', 'orcid': 'https://orcid.org/0000-0001-6888-3434'}, 'institutions': [{'id': 'https://openalex.org/I4210105718', 'display_name': 'Trondheim Kommune', 'ror': 'https://ror.org/01gjtys23', 'country_code': 'NO', 'type': 'government', 'lineage': ['https://openalex.org/I4210105718']}, {'id': 'https://openalex.org/I130828816', 'display_name': 'University of Leeds', 'ror': 'https://ror.org/024mrxd33', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I130828816']}], 'countries': ['GB', 'NO'], 'is_corresponding': False, 'raw_author_name': 'Aslak Bakke Buan', 'raw_affiliation_strings': ['Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT,UK', 'Institutt for matematiske fag, Norges teknisk-naturvitenskapelige universitet, 7491 Trondheim, Norway'], 'affiliations': [{'raw_affiliation_string': 'Institutt for matematiske fag, Norges teknisk-naturvitenskapelige universitet, 7491 Trondheim, Norway', 'institution_ids': ['https://openalex.org/I4210105718']}, {'raw_affiliation_string': 'Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT,UK', 'institution_ids': ['https://openalex.org/I130828816']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5022202150', 'display_name': 'Bethany Marsh', 'orcid': 'https://orcid.org/0000-0002-4268-8937'}, 'institutions': [{'id': 'https://openalex.org/I4210105718', 'display_name': 'Trondheim Kommune', 'ror': 'https://ror.org/01gjtys23', 'country_code': 'NO', 'type': 'government', 'lineage': ['https://openalex.org/I4210105718']}, {'id': 'https://openalex.org/I130828816', 'display_name': 'University of Leeds', 'ror': 'https://ror.org/024mrxd33', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I130828816']}], 'countries': ['GB', 'NO'], 'is_corresponding': False, 'raw_author_name': 'Robert J. Marsh', 'raw_affiliation_strings': ['Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT,UK', 'Institutt for matematiske fag, Norges teknisk-naturvitenskapelige universitet, 7491 Trondheim, Norway'], 'affiliations': [{'raw_affiliation_string': 'Institutt for matematiske fag, Norges teknisk-naturvitenskapelige universitet, 7491 Trondheim, Norway', 'institution_ids': ['https://openalex.org/I4210105718']}, {'raw_affiliation_string': 'Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT,UK', 'institution_ids': ['https://openalex.org/I130828816']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5014286771', 'display_name': 'Idun Reiten', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210105718', 'display_name': 'Trondheim Kommune', 'ror': 'https://ror.org/01gjtys23', 'country_code': 'NO', 'type': 'government', 'lineage': ['https://openalex.org/I4210105718']}, {'id': 'https://openalex.org/I130828816', 'display_name': 'University of Leeds', 'ror': 'https://ror.org/024mrxd33', 'country_code': 'GB', 'type': 'education', 'lineage': ['https://openalex.org/I130828816']}], 'countries': ['GB', 'NO'], 'is_corresponding': False, 'raw_author_name': 'Idun Reiten', 'raw_affiliation_strings': ['Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT,UK', 'Institutt for matematiske fag, Norges teknisk-naturvitenskapelige universitet, 7491 Trondheim, Norway'], 'affiliations': [{'raw_affiliation_string': 'Institutt for matematiske fag, Norges teknisk-naturvitenskapelige universitet, 7491 Trondheim, Norway', 'institution_ids': ['https://openalex.org/I4210105718']}, {'raw_affiliation_string': 'Department of Pure Mathematics, University of Leeds, Leeds, LS2 9JT,UK', 'institution_ids': ['https://openalex.org/I130828816']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 0, 'currency': 'USD', 'value_usd': 0, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 22.768, 'has_fulltext': False, 'cited_by_count': 168, 'citation_normalized_percentile': {'value': 0.977257, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '83', 'issue': '1', 'first_page': '143', 'last_page': '177'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10287', 'display_name': 'Cluster Algebras and Triangulated Categories', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10287', 'display_name': 'Cluster Algebras and Triangulated Categories', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11673', 'display_name': 'Deformations and Structures of Hom-Lie Algebras', 'score': 0.9991, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10948', 'display_name': 'Combinatorial Mathematics and Algebraic Combinatorics', 'score': 0.9945, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/quiver', 'display_name': 'Quiver', 'score': 0.9733341}, {'id': 'https://openalex.org/keywords/cluster-algebra', 'display_name': 'Cluster algebra', 'score': 0.85053277}, {'id': 'https://openalex.org/keywords/representation', 'display_name': 'Representation (politics)', 'score': 0.6146762}, {'id': 'https://openalex.org/keywords/cluster-algebras', 'display_name': 'Cluster Algebras', 'score': 0.541537}, {'id': 'https://openalex.org/keywords/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.4745023}], 'concepts': [{'id': 'https://openalex.org/C168310172', 'wikidata': 'https://www.wikidata.org/wiki/Q493980', 'display_name': 'Quiver', 'level': 2, 'score': 0.9733341}, {'id': 'https://openalex.org/C165879259', 'wikidata': 'https://www.wikidata.org/wiki/Q5136690', 'display_name': 'Cluster algebra', 'level': 3, 'score': 0.85053277}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7669594}, {'id': 'https://openalex.org/C527412718', 'wikidata': 'https://www.wikidata.org/wiki/Q855395', 'display_name': 'Interpretation (philosophy)', 'level': 2, 'score': 0.7632965}, {'id': 'https://openalex.org/C164866538', 'wikidata': 'https://www.wikidata.org/wiki/Q367351', 'display_name': 'Cluster (spacecraft)', 'level': 2, 'score': 0.71442765}, {'id': 'https://openalex.org/C501734568', 'wikidata': 'https://www.wikidata.org/wiki/Q42918', 'display_name': 'Mutation', 'level': 3, 'score': 0.66752726}, {'id': 'https://openalex.org/C2776359362', 'wikidata': 'https://www.wikidata.org/wiki/Q2145286', 'display_name': 'Representation (politics)', 'level': 3, 'score': 0.6146762}, {'id': 'https://openalex.org/C197273675', 'wikidata': 'https://www.wikidata.org/wiki/Q13220368', 'display_name': 'Representation theory', 'level': 2, 'score': 0.4829492}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.4745023}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.44544166}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3932842}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.3553108}, {'id': 'https://openalex.org/C54355233', 'wikidata': 'https://www.wikidata.org/wiki/Q7162', 'display_name': 'Genetics', 'level': 1, 'score': 0.17216003}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.15073526}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.13720202}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.10463017}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.07513967}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.065764904}, {'id': 'https://openalex.org/C94625758', 'wikidata': 'https://www.wikidata.org/wiki/Q7163', 'display_name': 'Politics', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C51329190', 'wikidata': 'https://www.wikidata.org/wiki/Q1076349', 'display_name': 'Ising model', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C159985019', 'wikidata': 'https://www.wikidata.org/wiki/Q181790', 'display_name': 'Composite material', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.4171/cmh/121', 'pdf_url': 'https://ems.press/content/serial-article-files/1603', 'source': {'id': 'https://openalex.org/S175700853', 'display_name': 'Commentarii Mathematici Helvetici', 'issn_l': '0010-2571', 'issn': ['0010-2571', '1420-8946'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316982', 'host_organization_name': 'European Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310316982'], 'host_organization_lineage_names': ['European Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0412077', 'pdf_url': 'https://arxiv.org/pdf/math/0412077', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.4171/cmh/121', 'pdf_url': 'https://ems.press/content/serial-article-files/1603', 'source': {'id': 'https://openalex.org/S175700853', 'display_name': 'Commentarii Mathematici Helvetici', 'issn_l': '0010-2571', 'issn': ['0010-2571', '1420-8946'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316982', 'host_organization_name': 'European Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310316982'], 'host_organization_lineage_names': ['European Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 44, 'referenced_works': ['https://openalex.org/W1532102906', 'https://openalex.org/W1548384067', 'https://openalex.org/W155599665', 'https://openalex.org/W1593219065', 'https://openalex.org/W1595937157', 'https://openalex.org/W1625613309', 'https://openalex.org/W1634710915', 'https://openalex.org/W1635138434', 'https://openalex.org/W1637606347', 'https://openalex.org/W1867152665', 'https://openalex.org/W1898987871', 'https://openalex.org/W1968176236', 'https://openalex.org/W1975779396', 'https://openalex.org/W1975854491', 'https://openalex.org/W1987464141', 'https://openalex.org/W1988329201', 'https://openalex.org/W1988429563', 'https://openalex.org/W1997822738', 'https://openalex.org/W2015688899', 'https://openalex.org/W2022913918', 'https://openalex.org/W2030482811', 'https://openalex.org/W2033780289', 'https://openalex.org/W2045973658', 'https://openalex.org/W2049618532', 'https://openalex.org/W2060325401', 'https://openalex.org/W2066850057', 'https://openalex.org/W2075135589', 'https://openalex.org/W2087997360', 'https://openalex.org/W2093651198', 'https://openalex.org/W2093785556', 'https://openalex.org/W2093890854', 'https://openalex.org/W2094632565', 'https://openalex.org/W2094911197', 'https://openalex.org/W2126899749', 'https://openalex.org/W2146870819', 'https://openalex.org/W2496599638', 'https://openalex.org/W2573348363', 'https://openalex.org/W2574081884', 'https://openalex.org/W2734958245', 'https://openalex.org/W2950373601', 'https://openalex.org/W2950616850', 'https://openalex.org/W2950643499', 'https://openalex.org/W2963856264', 'https://openalex.org/W4247449626'], 'related_works': ['https://openalex.org/W4302764667', 'https://openalex.org/W4297706557', 'https://openalex.org/W2952757887', 'https://openalex.org/W2755389579', 'https://openalex.org/W2592198769', 'https://openalex.org/W2146870819', 'https://openalex.org/W2042563327', 'https://openalex.org/W1968176236', 'https://openalex.org/W1935497977', 'https://openalex.org/W1412445'], 'abstract_inverted_index': {'Matrix': [0], 'mutation': [1, 41], 'appears': [2], 'in': [3, 25, 42], 'the': [4], 'definition': [5], 'of': [6, 9, 19, 28, 39, 44], 'cluster': [7, 26, 40, 46], 'algebras': [8], 'Fomin': [10], 'and': [11], 'Zelevinsky.': [12], 'We': [13], 'give': [14], 'a': [15, 35], 'representation': [16, 36], 'theoretic': [17, 37], 'interpretation': [18, 38], 'matrix': [20], 'mutation,': [21], 'using': [22], 'tilting': [23], 'theory': [24], 'categories': [27], 'hereditary': [29], 'algebras.': [30, 47], 'Using': [31], 'this,': [32], 'we': [33], 'obtain': [34], 'case': [43], 'acyclic': [45]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2152942877', 'counts_by_year': [{'year': 2024, 'cited_by_count': 2}, {'year': 2023, 'cited_by_count': 4}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 7}, {'year': 2020, 'cited_by_count': 5}, {'year': 2019, 'cited_by_count': 8}, {'year': 2018, 'cited_by_count': 5}, {'year': 2017, 'cited_by_count': 6}, {'year': 2016, 'cited_by_count': 7}, {'year': 2015, 'cited_by_count': 7}, {'year': 2014, 'cited_by_count': 8}, {'year': 2013, 'cited_by_count': 7}, {'year': 2012, 'cited_by_count': 14}], 'updated_date': '2024-09-17T13:59:03.421709', 'created_date': '2016-06-24'}