Publication Information

{'id': 'https://openalex.org/W2515964893', 'doi': 'https://doi.org/10.48550/arxiv.1608.06885', 'title': 'Quantum dimensions and fusion products for irreducible V_Q^s-modules, where s is an isometry of Q with s^2=1', 'display_name': 'Quantum dimensions and fusion products for irreducible V_Q^s-modules, where s is an isometry of Q with s^2=1', 'publication_year': 2016, 'publication_date': '2016-01-01', 'ids': {'openalex': 'https://openalex.org/W2515964893', 'doi': 'https://doi.org/10.48550/arxiv.1608.06885', 'mag': '2515964893'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1608.06885', '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/1608.06885', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5087860153', 'display_name': 'Jason Elsinger', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Jason Elsinger', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5087860153'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 66}, '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': 0.9988, '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': 0.9986, '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/isometry', 'display_name': 'Isometry (Riemannian geometry)', 'score': 0.44165584}], 'concepts': [{'id': 'https://openalex.org/C84114770', 'wikidata': 'https://www.wikidata.org/wiki/Q46344', 'display_name': 'Quantum', 'level': 2, 'score': 0.5613848}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.49716786}, {'id': 'https://openalex.org/C82457910', 'wikidata': 'https://www.wikidata.org/wiki/Q740207', 'display_name': 'Isometry (Riemannian geometry)', 'level': 2, 'score': 0.44165584}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.43838155}, {'id': 'https://openalex.org/C158525013', 'wikidata': 'https://www.wikidata.org/wiki/Q2593739', 'display_name': 'Fusion', 'level': 2, 'score': 0.42748097}, {'id': 'https://openalex.org/C142292226', 'wikidata': 'https://www.wikidata.org/wiki/Q13690522', 'display_name': 'Irreducible representation', 'level': 2, 'score': 0.42636055}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.378753}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.3695659}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.34557897}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.163935}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0958927}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.086058736}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1608.06885', '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.1608.06885', '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/1608.06885', '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': 22, 'referenced_works': ['https://openalex.org/W1500962902', 'https://openalex.org/W1503066975', 'https://openalex.org/W1557428207', 'https://openalex.org/W1594578859', 'https://openalex.org/W1599554001', 'https://openalex.org/W1620687752', 'https://openalex.org/W1772941714', 'https://openalex.org/W1920518253', 'https://openalex.org/W1974522605', 'https://openalex.org/W1984227575', 'https://openalex.org/W1998191952', 'https://openalex.org/W2017333554', 'https://openalex.org/W2057837741', 'https://openalex.org/W2079247828', 'https://openalex.org/W2084592107', 'https://openalex.org/W2093001049', 'https://openalex.org/W2110863704', 'https://openalex.org/W2297309882', 'https://openalex.org/W2963019335', 'https://openalex.org/W2963953119', 'https://openalex.org/W3098062015', 'https://openalex.org/W3214011313'], 'related_works': ['https://openalex.org/W4391375266', 'https://openalex.org/W4388634790', 'https://openalex.org/W3105866767', 'https://openalex.org/W2800721718', 'https://openalex.org/W2563363809', 'https://openalex.org/W2460347220', 'https://openalex.org/W2277203615', 'https://openalex.org/W2094009769', 'https://openalex.org/W2079795684', 'https://openalex.org/W2006723463'], 'abstract_inverted_index': {'Every': [0], 'isometry': [1, 55], 's': [2, 52, 112, 128], 'of': [3, 15, 37, 42, 56, 58, 67, 78, 103, 106], 'a': [4, 130], 'positive-definite': [5], 'even': [6], 'lattice': [7, 17, 110], 'Q': [8, 57, 97, 121], 'can': [9], 'be': [10], 'lifted': [11], 'to': [12, 33], 'an': [13, 46, 54], 'automorphism': [14, 133], 'the': [16, 35, 38, 49, 64, 68, 99, 107, 114, 123], 'vertex': [18, 25, 70], 'algebra': [19, 26, 71], 'V_Q.': [20], 'An': [21], 'important': [22], 'problem': [23], 'in': [24, 83, 136], 'theory': [27, 31], 'and': [28, 73, 91, 111, 127], 'conformal': [29], 'field': [30], 'is': [32, 53, 98, 113, 122, 129], 'classify': [34], 'representations': [36], 's-invariant': [39], 'subalgebra': [40], 'V_Q^s': [41, 72], 'V_Q,': [43], 'known': [44], 'as': [45, 76, 117, 119], 'orbifold.': [47], 'In': [48], 'case': [50], 'when': [51], 'order': [59], 'two,': [60], 'we': [61, 86], 'have': [62], 'classified': [63], 'irreducible': [65], 'modules': [66], 'orbifold': [69], 'identified': [74], 'them': [75], 'submodules': [77], 'twisted': [79], 'or': [80], 'untwisted': [81], 'V_Q-modules': [82], '[Bavalov-Elsinger].': [84], 'Here': [85], 'calculate': [87], 'their': [88], 'quantum': [89], 'dimensions': [90], 'fusion': [92], 'products.': [93], 'The': [94], 'examples': [95], 'where': [96, 120], 'orthogonal': [100], 'direct': [101], 'sum': [102], 'two': [104], 'copies': [105], 'A_2': [108], 'root': [109, 125], '2-cycle': [115], 'permutation': [116], 'well': [118], 'A_n': [124], 'latice': [126], 'Dynkin': [131], 'diagram': [132], 'are': [134], 'presented': [135], 'detail.': [137]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2515964893', 'counts_by_year': [], 'updated_date': '2024-12-07T04:19:05.455380', 'created_date': '2016-09-16'}