Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2013409394', 'doi': 'https://doi.org/10.1016/j.aim.2007.08.001', 'title': 'Nilpotent fusion categories', 'display_name': 'Nilpotent fusion categories', 'publication_year': 2007, 'publication_date': '2007-09-13', 'ids': {'openalex': 'https://openalex.org/W2013409394', 'doi': 'https://doi.org/10.1016/j.aim.2007.08.001', 'mag': '2013409394'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.aim.2007.08.001', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S122441808', 'display_name': 'Advances in Mathematics', 'issn_l': '0001-8708', 'issn': ['0001-8708', '1090-2082'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/math/0610726', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5016720288', 'display_name': 'Shlomo Gelaki', 'orcid': 'https://orcid.org/0000-0001-9298-0293'}, 'institutions': [{'id': 'https://openalex.org/I174306211', 'display_name': 'Technion – Israel Institute of Technology', 'ror': 'https://ror.org/03qryx823', 'country_code': 'IL', 'type': 'education', 'lineage': ['https://openalex.org/I174306211']}], 'countries': ['IL'], 'is_corresponding': False, 'raw_author_name': 'Shlomo Gelaki', 'raw_affiliation_strings': ['Department Of Mathematics , Technion-Israel Institute Of Technology , Haifa, 32000, Israel'], 'affiliations': [{'raw_affiliation_string': 'Department Of Mathematics , Technion-Israel Institute Of Technology , Haifa, 32000, Israel', 'institution_ids': ['https://openalex.org/I174306211']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5033466869', 'display_name': 'Dmitri Nikshych', 'orcid': 'https://orcid.org/0000-0002-8074-6309'}, 'institutions': [{'id': 'https://openalex.org/I161057412', 'display_name': 'University of New Hampshire', 'ror': 'https://ror.org/01rmh9n78', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I161057412']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Dmitri Nikshych', 'raw_affiliation_strings': ['Department of Mathematics and Statistics,University of New Hampshire,Durham,\xa0NH 03824,USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics and Statistics,University of New Hampshire,Durham,\xa0NH 03824,USA', 'institution_ids': ['https://openalex.org/I161057412']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 3480, 'currency': 'USD', 'value_usd': 3480, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 11.098, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 186, 'citation_normalized_percentile': {'value': 0.999739, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '217', 'issue': '3', 'first_page': '1053', 'last_page': '1071'}, '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': 0.9974, '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/T10896', 'display_name': 'Homotopy and Cohomology in Algebraic Topology', 'score': 0.9895, '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/central-series', 'display_name': 'Central series', 'score': 0.41260573}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8380279}, {'id': 'https://openalex.org/C50555996', 'wikidata': 'https://www.wikidata.org/wiki/Q840023', 'display_name': 'Nilpotent', 'level': 2, 'score': 0.7377815}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.649889}, {'id': 'https://openalex.org/C158525013', 'wikidata': 'https://www.wikidata.org/wiki/Q2593739', 'display_name': 'Fusion', 'level': 2, 'score': 0.63014877}, {'id': 'https://openalex.org/C183778304', 'wikidata': 'https://www.wikidata.org/wiki/Q165474', 'display_name': 'Commutative property', 'level': 2, 'score': 0.6101434}, {'id': 'https://openalex.org/C101468663', 'wikidata': 'https://www.wikidata.org/wiki/Q1620158', 'display_name': 'Modular design', 'level': 2, 'score': 0.49312016}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.48999348}, {'id': 'https://openalex.org/C143724316', 'wikidata': 'https://www.wikidata.org/wiki/Q312468', 'display_name': 'Series (stratigraphy)', 'level': 2, 'score': 0.4572056}, {'id': 'https://openalex.org/C188440111', 'wikidata': 'https://www.wikidata.org/wiki/Q5062152', 'display_name': 'Central series', 'level': 4, 'score': 0.41260573}, {'id': 'https://openalex.org/C206219070', 'wikidata': 'https://www.wikidata.org/wiki/Q1755242', 'display_name': 'Nilpotent group', 'level': 3, 'score': 0.34294862}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.13732204}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.10314861}, {'id': 'https://openalex.org/C151730666', 'wikidata': 'https://www.wikidata.org/wiki/Q7205', 'display_name': 'Paleontology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 4, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.aim.2007.08.001', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S122441808', 'display_name': 'Advances in Mathematics', 'issn_l': '0001-8708', 'issn': ['0001-8708', '1090-2082'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], '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/0610726', 'pdf_url': 'https://arxiv.org/pdf/math/0610726', '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': True, 'landing_page_url': 'http://arxiv.org/abs/math/0610726', 'pdf_url': 'http://arxiv.org/pdf/math/0610726', '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': True, 'landing_page_url': None, 'pdf_url': 'http://arxiv.org/pdf/math/0610726v1.pdf', '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}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/math/0610726', 'pdf_url': 'https://arxiv.org/pdf/math/0610726', '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': [{'display_name': 'Reduced inequalities', 'score': 0.41, 'id': 'https://metadata.un.org/sdg/10'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 20, 'referenced_works': ['https://openalex.org/W1489334106', 'https://openalex.org/W1500084468', 'https://openalex.org/W1502250468', 'https://openalex.org/W1521147094', 'https://openalex.org/W1528728841', 'https://openalex.org/W1567388844', 'https://openalex.org/W2018308928', 'https://openalex.org/W2038696898', 'https://openalex.org/W2049830324', 'https://openalex.org/W2050865238', 'https://openalex.org/W2082517833', 'https://openalex.org/W2099773315', 'https://openalex.org/W2128978199', 'https://openalex.org/W2147015770', 'https://openalex.org/W2153525410', 'https://openalex.org/W2578978396', 'https://openalex.org/W2612451553', 'https://openalex.org/W2962994618', 'https://openalex.org/W2963545104', 'https://openalex.org/W4239903295'], 'related_works': ['https://openalex.org/W3148572796', 'https://openalex.org/W2371129732', 'https://openalex.org/W2359607255', 'https://openalex.org/W2330250991', 'https://openalex.org/W2314656922', 'https://openalex.org/W2153554103', 'https://openalex.org/W2064992214', 'https://openalex.org/W2048309626', 'https://openalex.org/W2027228968', 'https://openalex.org/W2022486451'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2013409394', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 8}, {'year': 2022, 'cited_by_count': 12}, {'year': 2021, 'cited_by_count': 10}, {'year': 2020, 'cited_by_count': 15}, {'year': 2019, 'cited_by_count': 8}, {'year': 2018, 'cited_by_count': 8}, {'year': 2017, 'cited_by_count': 13}, {'year': 2016, 'cited_by_count': 13}, {'year': 2015, 'cited_by_count': 13}, {'year': 2014, 'cited_by_count': 9}, {'year': 2013, 'cited_by_count': 15}, {'year': 2012, 'cited_by_count': 16}], 'updated_date': '2024-12-09T14:17:42.997474', 'created_date': '2016-06-24'}