Publication Information

{'id': 'https://openalex.org/W2882631797', 'doi': 'https://doi.org/10.48550/arxiv.1807.03834', 'title': 'Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras', 'display_name': 'Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras', 'publication_year': 2018, 'publication_date': '2018-01-01', 'ids': {'openalex': 'https://openalex.org/W2882631797', 'doi': 'https://doi.org/10.48550/arxiv.1807.03834', 'mag': '2882631797'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1807.03834', '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': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1807.03834', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5043623116', 'display_name': 'Chih-Whi Chen', 'orcid': 'https://orcid.org/0000-0001-9226-2988'}, 'institutions': [{'id': 'https://openalex.org/I22265921', 'display_name': 'National Central University', 'ror': 'https://ror.org/00944ve71', 'country_code': 'TW', 'type': 'education', 'lineage': ['https://openalex.org/I22265921']}, {'id': 'https://openalex.org/I123387679', 'display_name': 'Uppsala University', 'ror': 'https://ror.org/048a87296', 'country_code': 'SE', 'type': 'education', 'lineage': ['https://openalex.org/I123387679']}], 'countries': ['SE', 'TW'], 'is_corresponding': False, 'raw_author_name': 'Chih-Whi Chen', 'raw_affiliation_strings': ['Department of Mathematics, National Central University, Taoyuan City, Taiwan', 'Department of Mathematics, Uppsala University, Uppsala, Sweden'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, National Central University, Taoyuan City, Taiwan', 'institution_ids': ['https://openalex.org/I22265921']}, {'raw_affiliation_string': 'Department of Mathematics, Uppsala University, Uppsala, Sweden', 'institution_ids': ['https://openalex.org/I123387679']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5086285555', 'display_name': 'Kevin Coulembier', 'orcid': 'https://orcid.org/0000-0003-0996-3965'}, 'institutions': [{'id': 'https://openalex.org/I129604602', 'display_name': 'University of Sydney', 'ror': 'https://ror.org/0384j8v12', 'country_code': 'AU', 'type': 'education', 'lineage': ['https://openalex.org/I129604602']}], 'countries': ['AU'], 'is_corresponding': False, 'raw_author_name': 'Kevin Coulembier', 'raw_affiliation_strings': ['School of Mathematics and Statistics , University of Sydney , Sydney , Australia'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics and Statistics , University of Sydney , Sydney , Australia', 'institution_ids': ['https://openalex.org/I129604602']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5007688099', 'display_name': 'Volodymyr Mazorchuk', 'orcid': 'https://orcid.org/0000-0002-4633-6218'}, 'institutions': [{'id': 'https://openalex.org/I123387679', 'display_name': 'Uppsala University', 'ror': 'https://ror.org/048a87296', 'country_code': 'SE', 'type': 'education', 'lineage': ['https://openalex.org/I123387679']}], 'countries': ['SE'], 'is_corresponding': False, 'raw_author_name': 'Volodymyr Mazorchuk', 'raw_affiliation_strings': ['Department of Mathematics, Uppsala University,  Uppsala, Sweden'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Uppsala University,  Uppsala, Sweden', 'institution_ids': ['https://openalex.org/I123387679']}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 3, 'citation_normalized_percentile': {'value': 0.710274, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 75, 'max': 77}, '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': 'Cluster Algebras and Triangulated Categories', 'score': 0.999, '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': 0.999, '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': 0.9844, '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/T11703', 'display_name': 'Study of properties and structures of commutative rings', 'score': 0.9737, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/modular-tensor-categories', 'display_name': 'Modular Tensor Categories', 'score': 0.526835}], 'concepts': [{'id': 'https://openalex.org/C2780586882', 'wikidata': 'https://www.wikidata.org/wiki/Q7520643', 'display_name': 'Simple (philosophy)', 'level': 2, 'score': 0.897285}, {'id': 'https://openalex.org/C51255310', 'wikidata': 'https://www.wikidata.org/wiki/Q1163016', 'display_name': 'Tensor product', 'level': 2, 'score': 0.7216786}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6942921}, {'id': 'https://openalex.org/C31937215', 'wikidata': 'https://www.wikidata.org/wiki/Q956233', 'display_name': 'Simple module', 'level': 3, 'score': 0.6346769}, {'id': 'https://openalex.org/C51568863', 'wikidata': 'https://www.wikidata.org/wiki/Q664495', 'display_name': 'Lie algebra', 'level': 2, 'score': 0.5366693}, {'id': 'https://openalex.org/C155281189', 'wikidata': 'https://www.wikidata.org/wiki/Q3518150', 'display_name': 'Tensor (intrinsic definition)', 'level': 2, 'score': 0.506282}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.49048015}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.4272856}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.3557618}, {'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': 4, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1807.03834', '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': True, 'landing_page_url': 'http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-454173', 'pdf_url': 'http://uu.diva-portal.org/smash/get/diva2:1597780/FULLTEXT01', 'source': {'id': 'https://openalex.org/S4306402043', 'display_name': 'Uppsala University Publications (Uppsala University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I123387679', 'host_organization_name': 'Uppsala University', 'host_organization_lineage': ['https://openalex.org/I123387679'], 'host_organization_lineage_names': ['Uppsala University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1807.03834', 'pdf_url': 'http://arxiv.org/pdf/1807.03834', '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}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1807.03834', '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/1807.03834', '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': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4386687603', 'https://openalex.org/W4307007469', 'https://openalex.org/W3206520295', 'https://openalex.org/W3106166943', 'https://openalex.org/W3104407645', 'https://openalex.org/W3104227478', 'https://openalex.org/W2951937187', 'https://openalex.org/W2062997484', 'https://openalex.org/W2054098992', 'https://openalex.org/W2037233743'], 'abstract_inverted_index': {'We': [0], 'prove': [1], 'that': [2, 28], 'the': [3, 45], 'tensor': [4], 'product': [5], 'of': [6, 24, 29, 34, 44, 47], 'a': [7, 10], 'simple': [8, 25, 30, 35], 'and': [9], 'finite': [11, 15], 'dimensional': [12], '$\\mathfrak{sl}_n$-module': [13], 'has': [14], 'type': [16], 'socle.': [17], 'This': [18], 'is': [19, 40], 'applied': [20], 'to': [21, 27], 'reduce': [22], 'classification': [23], '$\\mathfrak{q}(n)$-supermodules': [26], '$\\mathfrak{sl}_n$-modules.': [31], 'Rough': [32], 'structure': [33], '$\\mathfrak{q}(n)$-supermodules,': [36], 'considered': [37], 'as': [38], '$\\mathfrak{sl}_n$-modules,': [39], 'described': [41], 'in': [42], 'terms': [43], 'combinatorics': [46], 'category': [48], '$\\mathcal{O}$.': [49]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2882631797', 'counts_by_year': [{'year': 2020, 'cited_by_count': 3}], 'updated_date': '2024-09-19T09:32:24.796385', 'created_date': '2018-07-19'}