Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3104616548', 'doi': 'https://doi.org/10.1007/s002200050578', 'title': 'Representations of Vertex Operator Algebra V L + for Rank One Lattice L', 'display_name': 'Representations of Vertex Operator Algebra V L + for Rank One Lattice L', 'publication_year': 1999, 'publication_date': '1999-04-01', 'ids': {'openalex': 'https://openalex.org/W3104616548', 'doi': 'https://doi.org/10.1007/s002200050578', 'mag': '3104616548'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s002200050578', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S100601982', 'display_name': 'Communications in Mathematical Physics', 'issn_l': '0010-3616', 'issn': ['0010-3616', '1432-0916'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/math/9807168', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5103235948', 'display_name': 'Chongying Dong', 'orcid': 'https://orcid.org/0000-0003-3895-7951'}, 'institutions': [{'id': 'https://openalex.org/I185103710', 'display_name': 'University of California, Santa Cruz', 'ror': 'https://ror.org/03s65by71', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I185103710']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Chongying Dong', 'raw_affiliation_strings': ['Department of Mathematics, University of California, Santa Cruz, CA 95064, USA, , , , , , US'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of California, Santa Cruz, CA 95064, USA, , , , , , US', 'institution_ids': ['https://openalex.org/I185103710']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5027513379', 'display_name': 'Kiyokazu Nagatomo', 'orcid': 'https://orcid.org/0000-0001-8807-3113'}, 'institutions': [{'id': 'https://openalex.org/I185103710', 'display_name': 'University of California, Santa Cruz', 'ror': 'https://ror.org/03s65by71', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I185103710']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Kiyokazu Nagatomo', 'raw_affiliation_strings': ['Department of Mathematics, University of California, Santa Cruz, CA 95064, USA, , , , , , US'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of California, Santa Cruz, CA 95064, USA, , , , , , US', 'institution_ids': ['https://openalex.org/I185103710']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2290, 'currency': 'EUR', 'value_usd': 2890, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 6.14, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 82, 'citation_normalized_percentile': {'value': 0.984773, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 94, 'max': 95}, 'biblio': {'volume': '202', 'issue': '1', 'first_page': '169', 'last_page': '195'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', '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': 'Algebraic structures and combinatorial models', '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': 'Advanced Topics in Algebra', 'score': 0.9999, '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/T10899', 'display_name': 'Advanced Operator Algebra Research', 'score': 0.9987, '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': 0.85184443}, {'id': 'https://openalex.org/keywords/operator-algebra', 'display_name': 'Operator algebra', 'score': 0.73565036}, {'id': 'https://openalex.org/keywords/isometry', 'display_name': 'Isometry (Riemannian geometry)', 'score': 0.5636158}, {'id': 'https://openalex.org/keywords/lattice', 'display_name': 'Lattice (music)', 'score': 0.5582115}, {'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.5224749}, {'id': 'https://openalex.org/keywords/rank', 'display_name': 'Rank (graph theory)', 'score': 0.46838596}], 'concepts': [{'id': 'https://openalex.org/C179724543', 'wikidata': 'https://www.wikidata.org/wiki/Q28509', 'display_name': 'Vertex operator algebra', 'level': 5, 'score': 0.85184443}, {'id': 'https://openalex.org/C67996461', 'wikidata': 'https://www.wikidata.org/wiki/Q629933', 'display_name': 'Subalgebra', 'level': 3, 'score': 0.79673856}, {'id': 'https://openalex.org/C191413488', 'wikidata': 'https://www.wikidata.org/wiki/Q1892554', 'display_name': 'Operator algebra', 'level': 2, 'score': 0.73565036}, {'id': 'https://openalex.org/C118712358', 'wikidata': 'https://www.wikidata.org/wiki/Q782566', 'display_name': 'Automorphism', 'level': 2, 'score': 0.6822821}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6737665}, {'id': 'https://openalex.org/C80899671', 'wikidata': 'https://www.wikidata.org/wiki/Q1304193', 'display_name': 'Vertex (graph theory)', 'level': 3, 'score': 0.6363213}, {'id': 'https://openalex.org/C82457910', 'wikidata': 'https://www.wikidata.org/wiki/Q740207', 'display_name': 'Isometry (Riemannian geometry)', 'level': 2, 'score': 0.5636158}, {'id': 'https://openalex.org/C2781204021', 'wikidata': 'https://www.wikidata.org/wiki/Q6497091', 'display_name': 'Lattice (music)', 'level': 2, 'score': 0.5582115}, {'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.5224749}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.4919469}, {'id': 'https://openalex.org/C164226766', 'wikidata': 'https://www.wikidata.org/wiki/Q7293202', 'display_name': 'Rank (graph theory)', 'level': 2, 'score': 0.46838596}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.44884524}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.32200235}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.31749243}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.2993694}, {'id': 'https://openalex.org/C81999800', 'wikidata': 'https://www.wikidata.org/wiki/Q1454725', 'display_name': 'Current algebra', 'level': 3, 'score': 0.2596258}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.18388855}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.07872203}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C158448853', 'wikidata': 'https://www.wikidata.org/wiki/Q425218', 'display_name': 'Repressor', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86339819', 'wikidata': 'https://www.wikidata.org/wiki/Q407384', 'display_name': 'Transcription factor', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s002200050578', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S100601982', 'display_name': 'Communications in Mathematical Physics', 'issn_l': '0010-3616', 'issn': ['0010-3616', '1432-0916'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/9807168', 'pdf_url': 'https://arxiv.org/pdf/math/9807168', '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/9807168', '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/9807168', 'pdf_url': 'https://arxiv.org/pdf/math/9807168', '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}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W2081975254', 'https://openalex.org/W3104616548'], 'referenced_works_count': 18, 'referenced_works': ['https://openalex.org/W1500962902', 'https://openalex.org/W1802623620', 'https://openalex.org/W1826377884', 'https://openalex.org/W1972876376', 'https://openalex.org/W1973612980', 'https://openalex.org/W1974522605', 'https://openalex.org/W1984227575', 'https://openalex.org/W1997916648', 'https://openalex.org/W2012456454', 'https://openalex.org/W2027424767', 'https://openalex.org/W2034562590', 'https://openalex.org/W2057837741', 'https://openalex.org/W2059223346', 'https://openalex.org/W2084592107', 'https://openalex.org/W2110863704', 'https://openalex.org/W2592450182', 'https://openalex.org/W3177442037', 'https://openalex.org/W4247740708'], 'related_works': ['https://openalex.org/W65708076', 'https://openalex.org/W632684301', 'https://openalex.org/W4300487890', 'https://openalex.org/W4298372416', 'https://openalex.org/W3105037937', 'https://openalex.org/W2345142598', 'https://openalex.org/W2008139231', 'https://openalex.org/W2002940388', 'https://openalex.org/W1825771386', 'https://openalex.org/W1668258826'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3104616548', 'counts_by_year': [{'year': 2023, 'cited_by_count': 2}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 4}, {'year': 2019, 'cited_by_count': 3}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 4}, {'year': 2015, 'cited_by_count': 4}, {'year': 2014, 'cited_by_count': 3}, {'year': 2013, 'cited_by_count': 3}, {'year': 2012, 'cited_by_count': 4}], 'updated_date': '2024-12-09T18:41:00.831683', 'created_date': '2020-11-23'}