Publication Information

{'id': 'https://openalex.org/W1572294979', 'doi': 'https://doi.org/10.48550/arxiv.q-alg/9504019', 'title': 'Introduction to vertex operator algebras III', 'display_name': 'Introduction to vertex operator algebras III', 'publication_year': 1995, 'publication_date': '1995-01-01', 'ids': {'openalex': 'https://openalex.org/W1572294979', 'doi': 'https://doi.org/10.48550/arxiv.q-alg/9504019', 'mag': '1572294979'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/q-alg/9504019', '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/q-alg/9504019', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5066095681', 'display_name': 'Yi-Zhi Huang', 'orcid': 'https://orcid.org/0000-0002-6121-2539'}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Yi-Zhi Huang', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5066095681'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.501786, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 53, 'max': 61}, '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': 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/T10248', 'display_name': 'Nonlinear Waves and Solitons', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, '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': 0.83460313}, {'id': 'https://openalex.org/keywords/operator-algebra', 'display_name': 'Operator algebra', 'score': 0.7079206}, {'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.58650273}], 'concepts': [{'id': 'https://openalex.org/C179724543', 'wikidata': 'https://www.wikidata.org/wiki/Q28509', 'display_name': 'Vertex operator algebra', 'level': 5, 'score': 0.83460313}, {'id': 'https://openalex.org/C80899671', 'wikidata': 'https://www.wikidata.org/wiki/Q1304193', 'display_name': 'Vertex (graph theory)', 'level': 3, 'score': 0.73916894}, {'id': 'https://openalex.org/C191413488', 'wikidata': 'https://www.wikidata.org/wiki/Q1892554', 'display_name': 'Operator algebra', 'level': 2, 'score': 0.7079206}, {'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.58650273}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.55668014}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.46929842}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.46027872}, {'id': 'https://openalex.org/C134440745', 'wikidata': 'https://www.wikidata.org/wiki/Q1186765', 'display_name': 'Ladder operator', 'level': 4, 'score': 0.43048656}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.32071328}, {'id': 'https://openalex.org/C79013869', 'wikidata': 'https://www.wikidata.org/wiki/Q1780743', 'display_name': 'Compact operator', 'level': 3, 'score': 0.19566026}, {'id': 'https://openalex.org/C81999800', 'wikidata': 'https://www.wikidata.org/wiki/Q1454725', 'display_name': 'Current algebra', 'level': 3, 'score': 0.18383104}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.17847297}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.17469099}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.12005654}, {'id': 'https://openalex.org/C2778029271', 'wikidata': 'https://www.wikidata.org/wiki/Q5421931', 'display_name': 'Extension (predicate logic)', 'level': 2, 'score': 0.10222843}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0642764}, {'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/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}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/q-alg/9504019', '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.q-alg/9504019', '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/q-alg/9504019', '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': 24, 'referenced_works': ['https://openalex.org/W1486044528', 'https://openalex.org/W1498826670', 'https://openalex.org/W1532154335', 'https://openalex.org/W1534275946', 'https://openalex.org/W1569666450', 'https://openalex.org/W1597515020', 'https://openalex.org/W1650885191', 'https://openalex.org/W1802623620', 'https://openalex.org/W1878893054', 'https://openalex.org/W1968598896', 'https://openalex.org/W1983055324', 'https://openalex.org/W1990930697', 'https://openalex.org/W1996392549', 'https://openalex.org/W2008099577', 'https://openalex.org/W2012456454', 'https://openalex.org/W2017333554', 'https://openalex.org/W2017499636', 'https://openalex.org/W2042192583', 'https://openalex.org/W2106611756', 'https://openalex.org/W2110863704', 'https://openalex.org/W2123907710', 'https://openalex.org/W2130762722', 'https://openalex.org/W2144480080', 'https://openalex.org/W2952820562'], 'related_works': ['https://openalex.org/W65708076', 'https://openalex.org/W3138176368', 'https://openalex.org/W3112689428', 'https://openalex.org/W2964309586', 'https://openalex.org/W2951611230', 'https://openalex.org/W2755511175', 'https://openalex.org/W2592576928', 'https://openalex.org/W2084592107', 'https://openalex.org/W1650885191', 'https://openalex.org/W1498826670'], 'abstract_inverted_index': {'This': [0], 'is': [1], 'the': [2, 6, 10, 27, 36, 54, 58, 73, 76, 81, 86, 100, 109, 115], 'third': [3], 'part': [4], 'of': [5, 9, 12, 39, 53, 75, 88, 103, 114, 117], 'revised': [7], 'versions': [8], 'notes': [11], 'three': [13], 'consecutive': [14], 'expository': [15], 'lectures': [16], 'given': [17], 'by': [18], 'Chongying': [19], 'Dong,': [20], 'Haisheng': [21], 'Li': [22], 'and': [23, 31, 69, 93], 'Yi-Zhi': [24], 'Huang': [25], 'in': [26, 121], 'conference': [28], 'on': [29], 'Monster': [30], 'vertex': [32, 66, 77, 104, 118], 'operator': [33, 67, 78, 105, 119], 'algebras': [34, 120], 'at': [35], 'Research': [37], 'Institute': [38], 'Mathematical': [40], 'Sciences,': [41], 'Kyoto,': [42], 'September': [43], '4-9,': [44], '1994.': [45], 'In': [46], 'this': [47], 'part,': [48], 'we': [49], 'discuss': [50], 'an': [51, 112], '$S_{3}$-symmetry': [52], 'Jacobi': [55], 'identity,': [56], 'construct': [57], 'contragredient': [59], 'module': [60, 63], 'for': [61, 64, 80], 'a': [62, 65], 'algebra': [68], 'apply': [70], 'these': [71], 'to': [72], 'construction': [74], 'map': [79], 'moonshine': [82], 'module.': [83], 'We': [84, 96, 107], 'review': [85], 'notions': [87], 'intertwining': [89], 'operator,': [90], 'fusion': [91], 'rule': [92], 'Verlinde': [94], 'algebra.': [95], 'also': [97], 'describe': [98], 'briefly': [99], 'geometric': [101], 'interpretation': [102], 'algebras.': [106], 'end': [108], 'exposition': [110], 'with': [111], 'explanation': [113], 'role': [116], 'conformal': [122], 'field': [123], 'theories.': [124]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1572294979', 'counts_by_year': [{'year': 2016, 'cited_by_count': 1}], 'updated_date': '2024-12-17T13:43:02.311912', 'created_date': '2016-06-24'}