Publication Information

{'id': 'https://openalex.org/W2121190723', 'doi': 'https://doi.org/10.48550/arxiv.1509.02403', 'title': 'Representations of Hecke algebras on quotients of path algebras', 'display_name': 'Representations of Hecke algebras on quotients of path algebras', 'publication_year': 2015, 'publication_date': '2015-01-01', 'ids': {'openalex': 'https://openalex.org/W2121190723', 'doi': 'https://doi.org/10.48550/arxiv.1509.02403', 'mag': '2121190723'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1509.02403', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': ['datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1509.02403', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5075769891', 'display_name': 'Alexander Diaz-Lopez', 'orcid': 'https://orcid.org/0000-0002-8350-5666'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Alexander Diaz-Lopez', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5075769891'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.578917, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 66, 'max': 73}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9997, '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': 'Algebraic structures and combinatorial models', 'score': 0.9997, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9995, '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'}}, {'id': 'https://openalex.org/T12748', 'display_name': 'Molecular spectroscopy and chirality', 'score': 0.9965, 'subfield': {'id': 'https://openalex.org/subfields/1607', 'display_name': 'Spectroscopy'}, 'field': {'id': 'https://openalex.org/fields/16', 'display_name': 'Chemistry'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/hecke-algebra', 'display_name': 'Hecke algebra', 'score': 0.76742625}], 'concepts': [{'id': 'https://openalex.org/C199422724', 'wikidata': 'https://www.wikidata.org/wiki/Q41118', 'display_name': 'Quotient', 'level': 2, 'score': 0.84282184}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.82680416}, {'id': 'https://openalex.org/C2781280181', 'wikidata': 'https://www.wikidata.org/wiki/Q48970267', 'display_name': 'Hecke algebra', 'level': 3, 'score': 0.76742625}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.6082432}, {'id': 'https://openalex.org/C143669375', 'wikidata': 'https://www.wikidata.org/wiki/Q7874246', 'display_name': 'Coxeter group', 'level': 2, 'score': 0.56643826}, {'id': 'https://openalex.org/C2777735758', 'wikidata': 'https://www.wikidata.org/wiki/Q817765', 'display_name': 'Path (computing)', 'level': 2, 'score': 0.51723415}, {'id': 'https://openalex.org/C2776639384', 'wikidata': 'https://www.wikidata.org/wiki/Q840396', 'display_name': 'Ideal (ethics)', 'level': 2, 'score': 0.5161641}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.4972625}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.4359311}, {'id': 'https://openalex.org/C197273675', 'wikidata': 'https://www.wikidata.org/wiki/Q13220368', 'display_name': 'Representation theory', 'level': 2, 'score': 0.42160207}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.41935605}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.28841645}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, '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/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1509.02403', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1509.02403', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1509.02403', 'pdf_url': None, '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': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 7, 'referenced_works': ['https://openalex.org/W112671161', 'https://openalex.org/W1596298884', 'https://openalex.org/W1986067975', 'https://openalex.org/W1999149875', 'https://openalex.org/W2055415655', 'https://openalex.org/W2087189594', 'https://openalex.org/W2129749155'], 'related_works': ['https://openalex.org/W4300995034', 'https://openalex.org/W3100799499', 'https://openalex.org/W2953130182', 'https://openalex.org/W2949348761', 'https://openalex.org/W2584840925', 'https://openalex.org/W2244390590', 'https://openalex.org/W2094147700', 'https://openalex.org/W2083004909', 'https://openalex.org/W1979204685', 'https://openalex.org/W1942811050'], 'abstract_inverted_index': {'Let': [0], '$(W,S)$': [1], 'be': [2], 'a': [3, 9, 72, 76], 'Coxeter': [4], 'system.': [5], 'A': [6], '$W$-graph': [7, 37], 'encodes': [8], 'representation': [10], 'of': [11, 16, 22, 29, 44, 64], 'the': [12, 42, 55, 80, 86], 'Hecke': [13, 24, 67], 'algebra': [14, 58], '$\\mathcal{H}$': [15], '$W$.': [17], 'We': [18, 39], 'construct': [19], 'universal': [20], 'representations': [21], 'multi-parameter': [23], 'algebras': [25, 46], 'on': [26, 47], 'certain': [27], 'quotients': [28, 43], 'path': [30, 45, 57, 87], 'algebras,': [31], 'and': [32], 'study': [33, 41], 'their': [34, 48], 'relationships': [35], 'with': [36], 'representations.': [38], 'also': [40], 'own,': [49], 'motivated': [50], 'by': [51, 82], 'one': [52], 'example': [53], 'where': [54], 'quotient': [56, 85], 'is': [59], 'isomorphic': [60], 'to': [61, 74], 'an': [62], 'ideal': [63], 'Lusztig': [65], 'asymptotic': [66], 'algebra.': [68], 'Finally,': [69], 'we': [70, 84], 'describe': [71], 'method': [73], 'obtain': [75], 'generating': [77], 'set': [78], 'for': [79], 'ideals': [81], 'which': [83], 'algebras.': [88]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2121190723', 'counts_by_year': [{'year': 2021, 'cited_by_count': 1}], 'updated_date': '2024-12-13T11:33:33.752923', 'created_date': '2016-06-24'}