Publication Information

{'id': 'https://openalex.org/W2087774869', 'doi': 'https://doi.org/10.1143/ptp.78.158', 'title': 'Oscillator Representation of Virasoro Algebra and Kac Determinant', 'display_name': 'Oscillator Representation of Virasoro Algebra and Kac Determinant', 'publication_year': 1987, 'publication_date': '1987-07-01', 'ids': {'openalex': 'https://openalex.org/W2087774869', 'doi': 'https://doi.org/10.1143/ptp.78.158', 'mag': '2087774869'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1143/ptp.78.158', 'pdf_url': 'https://academic.oup.com/ptp/article-pdf/78/1/158/5438292/78-1-158.pdf', 'source': {'id': 'https://openalex.org/S83252788', 'display_name': 'Progress of Theoretical Physics', 'issn_l': '0033-068X', 'issn': ['0033-068X', '1347-4081'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311648', 'host_organization_name': 'Oxford University Press', 'host_organization_lineage': ['https://openalex.org/P4310311647', 'https://openalex.org/P4310311648'], 'host_organization_lineage_names': ['University of Oxford', 'Oxford University Press'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://academic.oup.com/ptp/article-pdf/78/1/158/5438292/78-1-158.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5029441798', 'display_name': 'Masaru Kato', 'orcid': 'https://orcid.org/0000-0002-2845-3525'}, 'institutions': [{'id': 'https://openalex.org/I22299242', 'display_name': 'Kyoto University', 'ror': 'https://ror.org/02kpeqv85', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I22299242']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'M. Kato', 'raw_affiliation_strings': ['a Research Institute for Fundamental Physics, Kyoto University, Kyoto 606'], 'affiliations': [{'raw_affiliation_string': 'a Research Institute for Fundamental Physics, Kyoto University, Kyoto 606', 'institution_ids': ['https://openalex.org/I22299242']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5111362792', 'display_name': 'S. Matsuda', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I22299242', 'display_name': 'Kyoto University', 'ror': 'https://ror.org/02kpeqv85', 'country_code': 'JP', 'type': 'education', 'lineage': ['https://openalex.org/I22299242']}], 'countries': ['JP'], 'is_corresponding': False, 'raw_author_name': 'S. Matsuda', 'raw_affiliation_strings': ['Department of Physics, College of Liberal Arts, Kyoto University, Kyoto 606'], 'affiliations': [{'raw_affiliation_string': 'Department of Physics, College of Liberal Arts, Kyoto University, Kyoto 606', 'institution_ids': ['https://openalex.org/I22299242']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.184, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 11, 'citation_normalized_percentile': {'value': 0.651225, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 80, 'max': 81}, 'biblio': {'volume': '78', 'issue': '1', 'first_page': '158', 'last_page': '165'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9992, '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': 0.9992, '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/T10425', 'display_name': 'Cold Atom Physics and Bose-Einstein Condensates', 'score': 0.9969, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10020', 'display_name': 'Quantum Information and Cryptography', 'score': 0.9952, 'subfield': {'id': 'https://openalex.org/subfields/1702', 'display_name': 'Artificial Intelligence'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/virasoro-algebra', 'display_name': 'Virasoro algebra', 'score': 0.9039329}, {'id': 'https://openalex.org/keywords/central-charge', 'display_name': 'Central charge', 'score': 0.6998544}, {'id': 'https://openalex.org/keywords/representation', 'display_name': 'Representation', 'score': 0.48948038}, {'id': 'https://openalex.org/keywords/vertex-operator-algebra', 'display_name': 'Vertex operator algebra', 'score': 0.48849976}], 'concepts': [{'id': 'https://openalex.org/C198252154', 'wikidata': 'https://www.wikidata.org/wiki/Q1366201', 'display_name': 'Virasoro algebra', 'level': 5, 'score': 0.9039329}, {'id': 'https://openalex.org/C206743202', 'wikidata': 'https://www.wikidata.org/wiki/Q6956294', 'display_name': 'N = 2 superconformal algebra', 'level': 5, 'score': 0.70194376}, {'id': 'https://openalex.org/C2777345500', 'wikidata': 'https://www.wikidata.org/wiki/Q3658596', 'display_name': 'Central charge', 'level': 3, 'score': 0.6998544}, {'id': 'https://openalex.org/C40934718', 'wikidata': 'https://www.wikidata.org/wiki/Q190070', 'display_name': 'Harmonic oscillator', 'level': 2, 'score': 0.6572321}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.63803923}, {'id': 'https://openalex.org/C98214594', 'wikidata': 'https://www.wikidata.org/wiki/Q850275', 'display_name': 'Conformal map', 'level': 2, 'score': 0.59644026}, {'id': 'https://openalex.org/C155765329', 'wikidata': 'https://www.wikidata.org/wiki/Q7243128', 'display_name': 'Primary field', 'level': 4, 'score': 0.55560946}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.49043104}, {'id': 'https://openalex.org/C2776359362', 'wikidata': 'https://www.wikidata.org/wiki/Q2145286', 'display_name': 'Representation (politics)', 'level': 3, 'score': 0.48948038}, {'id': 'https://openalex.org/C179724543', 'wikidata': 'https://www.wikidata.org/wiki/Q28509', 'display_name': 'Vertex operator algebra', 'level': 5, 'score': 0.48849976}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.48404855}, {'id': 'https://openalex.org/C9376300', 'wikidata': 'https://www.wikidata.org/wiki/Q168817', 'display_name': 'Algebraic number', 'level': 2, 'score': 0.47966862}, {'id': 'https://openalex.org/C80899671', 'wikidata': 'https://www.wikidata.org/wiki/Q1304193', 'display_name': 'Vertex (graph theory)', 'level': 3, 'score': 0.46632224}, {'id': 'https://openalex.org/C54613284', 'wikidata': 'https://www.wikidata.org/wiki/Q1191271', 'display_name': 'Conformal field theory', 'level': 3, 'score': 0.4528086}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4503941}, {'id': 'https://openalex.org/C81999800', 'wikidata': 'https://www.wikidata.org/wiki/Q1454725', 'display_name': 'Current algebra', 'level': 3, 'score': 0.42962614}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.37483585}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.24077651}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.18274876}, {'id': 'https://openalex.org/C100899422', 'wikidata': 'https://www.wikidata.org/wiki/Q5058347', 'display_name': 'Cellular algebra', 'level': 4, 'score': 0.16872329}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.1394043}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.13592923}, {'id': 'https://openalex.org/C100376341', 'wikidata': 'https://www.wikidata.org/wiki/Q649977', 'display_name': 'Jordan algebra', 'level': 4, 'score': 0.094804645}, {'id': 'https://openalex.org/C132525143', 'wikidata': 'https://www.wikidata.org/wiki/Q141488', 'display_name': 'Graph', 'level': 2, 'score': 0.07720092}, {'id': 'https://openalex.org/C94625758', 'wikidata': 'https://www.wikidata.org/wiki/Q7163', 'display_name': 'Politics', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1143/ptp.78.158', 'pdf_url': 'https://academic.oup.com/ptp/article-pdf/78/1/158/5438292/78-1-158.pdf', 'source': {'id': 'https://openalex.org/S83252788', 'display_name': 'Progress of Theoretical Physics', 'issn_l': '0033-068X', 'issn': ['0033-068X', '1347-4081'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311648', 'host_organization_name': 'Oxford University Press', 'host_organization_lineage': ['https://openalex.org/P4310311647', 'https://openalex.org/P4310311648'], 'host_organization_lineage_names': ['University of Oxford', 'Oxford University Press'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1143/ptp.78.158', 'pdf_url': 'https://academic.oup.com/ptp/article-pdf/78/1/158/5438292/78-1-158.pdf', 'source': {'id': 'https://openalex.org/S83252788', 'display_name': 'Progress of Theoretical Physics', 'issn_l': '0033-068X', 'issn': ['0033-068X', '1347-4081'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311648', 'host_organization_name': 'Oxford University Press', 'host_organization_lineage': ['https://openalex.org/P4310311647', 'https://openalex.org/P4310311648'], 'host_organization_lineage_names': ['University of Oxford', 'Oxford University Press'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 2, 'referenced_works': ['https://openalex.org/W1642629289', 'https://openalex.org/W4250037710'], 'related_works': ['https://openalex.org/W4320878814', 'https://openalex.org/W4313451351', 'https://openalex.org/W4280489265', 'https://openalex.org/W4221140357', 'https://openalex.org/W3105076687', 'https://openalex.org/W2890911703', 'https://openalex.org/W2087774869', 'https://openalex.org/W2047530660', 'https://openalex.org/W2020465873', 'https://openalex.org/W2004141798'], 'abstract_inverted_index': {'An': [0], 'algebraic': [1], 'relation': [2], 'between': [3], 'the': [4, 9, 20, 27, 31, 40, 47, 55, 58], 'harmonic': [5], 'oscillator': [6, 59], 'representation': [7, 60], 'of': [8, 19, 30, 46, 57], '2-dimensional': [10], 'conformal': [11], 'algebra': [12], 'and': [13], 'its': [14], 'generic': [15], 'expression': [16], 'in': [17], 'terms': [18], 'Virasoro': [21], 'operators': [22, 34], 'themselves': [23], 'is': [24, 51], 'established': [25], 'utilizing': [26], 'existence': [28], 'condition': [29], 'singular': [32], 'vertex': [33], 'which': [35], 'were': [36], 'recently': [37], 'constructed': [38], 'by': [39], 'present': [41], 'authors.': [42], 'A': [43], 'new': [44], 'derivation': [45], 'Kac': [48], 'determinant': [49], 'formula': [50], 'also': [52], 'given': [53], 'from': [54], 'viewpoint': [56], 'with': [61], 'a': [62], 'variable': [63], 'central': [64], 'charge': [65], 'extention.': [66]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2087774869', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 2}, {'year': 2016, 'cited_by_count': 1}], 'updated_date': '2024-12-14T22:03:41.948532', 'created_date': '2016-06-24'}