Publication Information

{'id': 'https://openalex.org/W4300487890', 'doi': 'https://doi.org/10.48550/arxiv.math/0508175', 'title': 'The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three', 'display_name': 'The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three', 'publication_year': 2005, 'publication_date': '2005-01-01', 'ids': {'openalex': 'https://openalex.org/W4300487890', 'doi': 'https://doi.org/10.48550/arxiv.math/0508175'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0508175', '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': None, 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/math/0508175', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5089433727', 'display_name': 'K. TANABE', 'orcid': 'https://orcid.org/0000-0002-0936-1596'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Tanabe, Kenichiro', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5102477217', 'display_name': 'Hiromichi Yamada', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Yamada, Hiromichi', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.588156, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 61, 'max': 68}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9998, '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'}}, 'topics': [{'id': 'https://openalex.org/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9998, '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/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9988, '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9952, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/vertex-operator-algebra', 'display_name': 'Vertex operator algebra', 'score': 0.7674009}, {'id': 'https://openalex.org/keywords/isometry', 'display_name': 'Isometry (Riemannian geometry)', 'score': 0.5968389}, {'id': 'https://openalex.org/keywords/lattice', 'display_name': 'Lattice (music)', 'score': 0.5288573}, {'id': 'https://openalex.org/keywords/operator-algebra', 'display_name': 'Operator algebra', 'score': 0.49664956}, {'id': 'https://openalex.org/keywords/cartan-subalgebra', 'display_name': 'Cartan subalgebra', 'score': 0.43916968}], 'concepts': [{'id': 'https://openalex.org/C67996461', 'wikidata': 'https://www.wikidata.org/wiki/Q629933', 'display_name': 'Subalgebra', 'level': 3, 'score': 0.8732258}, {'id': 'https://openalex.org/C179724543', 'wikidata': 'https://www.wikidata.org/wiki/Q28509', 'display_name': 'Vertex operator algebra', 'level': 5, 'score': 0.7674009}, {'id': 'https://openalex.org/C118712358', 'wikidata': 'https://www.wikidata.org/wiki/Q782566', 'display_name': 'Automorphism', 'level': 2, 'score': 0.7115548}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6854946}, {'id': 'https://openalex.org/C82457910', 'wikidata': 'https://www.wikidata.org/wiki/Q740207', 'display_name': 'Isometry (Riemannian geometry)', 'level': 2, 'score': 0.5968389}, {'id': 'https://openalex.org/C80899671', 'wikidata': 'https://www.wikidata.org/wiki/Q1304193', 'display_name': 'Vertex (graph theory)', 'level': 3, 'score': 0.56677693}, {'id': 'https://openalex.org/C2781204021', 'wikidata': 'https://www.wikidata.org/wiki/Q6497091', 'display_name': 'Lattice (music)', 'level': 2, 'score': 0.5288573}, {'id': 'https://openalex.org/C191413488', 'wikidata': 'https://www.wikidata.org/wiki/Q1892554', 'display_name': 'Operator algebra', 'level': 2, 'score': 0.49664956}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.463966}, {'id': 'https://openalex.org/C65096084', 'wikidata': 'https://www.wikidata.org/wiki/Q2912114', 'display_name': 'Cartan subalgebra', 'level': 5, 'score': 0.43916968}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.39392906}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.3885641}, {'id': 'https://openalex.org/C73648015', 'wikidata': 'https://www.wikidata.org/wiki/Q6543817', 'display_name': 'Lie conformal algebra', 'level': 3, 'score': 0.34659746}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.3182848}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.30029115}, {'id': 'https://openalex.org/C81999800', 'wikidata': 'https://www.wikidata.org/wiki/Q1454725', 'display_name': 'Current algebra', 'level': 3, 'score': 0.22628802}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.14388654}, {'id': 'https://openalex.org/C203946495', 'wikidata': 'https://www.wikidata.org/wiki/Q1017106', 'display_name': 'Adjoint representation of a Lie algebra', 'level': 4, 'score': 0.073559076}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0508175', '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': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/math/0508175', 'pdf_url': 'http://arxiv.org/pdf/math/0508175', '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.math/0508175', '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/math/0508175', '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': None, 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W65708076', 'https://openalex.org/W632684301', 'https://openalex.org/W581254612', 'https://openalex.org/W2964570194', 'https://openalex.org/W2509646499', 'https://openalex.org/W2067553798', 'https://openalex.org/W2009845326', 'https://openalex.org/W1825771386', 'https://openalex.org/W1668258826', 'https://openalex.org/W1549776735'], 'abstract_inverted_index': {'We': [0, 32], 'study': [1], 'the': [2, 5, 13, 28, 34, 38, 43], 'subalgebra': [3], 'of': [4, 12, 16, 27], 'lattice': [6, 30], 'vertex': [7], 'operator': [8], 'algebra': [9], '$V_{\\sqrt{2}A_2}$': [10], 'consisting': [11], 'fixed': [14], 'points': [15], 'an': [17, 23], 'automorphism': [18], 'which': [19], 'is': [20], 'induced': [21], 'from': [22], 'order': [24], '3': [25], 'isometry': [26], 'root': [29], '$A_2$.': [31], 'classify': [33], 'simple': [35], 'modules': [36], 'for': [37], 'subalgebra.': [39], 'The': [40], 'rationality': [41], 'and': [42], '$C_2$-cofiniteness': [44], 'are': [45], 'also': [46], 'established.': [47]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4300487890', 'counts_by_year': [], 'updated_date': '2024-12-12T15:54:22.688700', 'created_date': '2022-10-03'}