Publication Information

{'id': 'https://openalex.org/W649195899', 'doi': None, 'title': 'Invariants of quasi-trivial tori and the Rost invariant', 'display_name': 'Invariants of quasi-trivial tori and the Rost invariant', 'publication_year': 2003, 'publication_date': '2003-01-01', 'ids': {'openalex': 'https://openalex.org/W649195899', 'mag': '649195899'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://dial.uclouvain.be/pr/boreal/object/boreal:79765', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S113566553', 'display_name': 'St Petersburg Mathematical Journal', 'issn_l': '1061-0022', 'issn': ['1061-0022', '1547-7371'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310321506', 'host_organization_name': 'Serbian Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310321506'], 'host_organization_lineage_names': ['Serbian Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5008014858', 'display_name': 'Alexander Merkurjev', 'orcid': 'https://orcid.org/0000-0002-4447-1838'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Alexander S. Merkurjev', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5073998087', 'display_name': 'R. Parimala', 'orcid': 'https://orcid.org/0000-0001-6168-618X'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Raman Parimala', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5069949780', 'display_name': 'Jean-Pierre Tignol', 'orcid': 'https://orcid.org/0000-0003-3475-0670'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Jean-Pierre Tignol', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.425, 'has_fulltext': False, 'cited_by_count': 15, 'citation_normalized_percentile': {'value': 0.769724, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 83, 'max': 84}, 'biblio': {'volume': '14', 'issue': '5', 'first_page': '791', 'last_page': '821'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9999, '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/T10061', 'display_name': 'Algebraic Geometry and Number Theory', 'score': 0.9999, '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9999, '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'}}, {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9998, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/steenrod-algebra', 'display_name': 'Steenrod algebra', 'score': 0.50145054}, {'id': 'https://openalex.org/keywords/linear-algebraic-group', 'display_name': 'Linear algebraic group', 'score': 0.4295911}, {'id': 'https://openalex.org/keywords/unitary-group', 'display_name': 'Unitary group', 'score': 0.4254141}, {'id': 'https://openalex.org/keywords/algebraic-group', 'display_name': 'Algebraic group', 'score': 0.42120397}, {'id': 'https://openalex.org/keywords/invariant-theory', 'display_name': 'Invariant theory', 'score': 0.412943}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.9274332}, {'id': 'https://openalex.org/C190470478', 'wikidata': 'https://www.wikidata.org/wiki/Q2370229', 'display_name': 'Invariant (physics)', 'level': 2, 'score': 0.66950154}, {'id': 'https://openalex.org/C67820243', 'wikidata': 'https://www.wikidata.org/wiki/Q179164', 'display_name': 'Unitary state', 'level': 2, 'score': 0.66657096}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.6323497}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.5807482}, {'id': 'https://openalex.org/C2781061749', 'wikidata': 'https://www.wikidata.org/wiki/Q7605884', 'display_name': 'Steenrod algebra', 'level': 3, 'score': 0.50145054}, {'id': 'https://openalex.org/C2780586882', 'wikidata': 'https://www.wikidata.org/wiki/Q7520643', 'display_name': 'Simple (philosophy)', 'level': 2, 'score': 0.43622586}, {'id': 'https://openalex.org/C9767117', 'wikidata': 'https://www.wikidata.org/wiki/Q12510', 'display_name': 'Torus', 'level': 2, 'score': 0.4317639}, {'id': 'https://openalex.org/C2776756444', 'wikidata': 'https://www.wikidata.org/wiki/Q6553407', 'display_name': 'Linear algebraic group', 'level': 3, 'score': 0.4295911}, {'id': 'https://openalex.org/C9376300', 'wikidata': 'https://www.wikidata.org/wiki/Q168817', 'display_name': 'Algebraic number', 'level': 2, 'score': 0.42559406}, {'id': 'https://openalex.org/C99072794', 'wikidata': 'https://www.wikidata.org/wiki/Q1500617', 'display_name': 'Unitary group', 'level': 3, 'score': 0.4254141}, {'id': 'https://openalex.org/C187173678', 'wikidata': 'https://www.wikidata.org/wiki/Q1695400', 'display_name': 'Algebraic group', 'level': 3, 'score': 0.42120397}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.41353706}, {'id': 'https://openalex.org/C63036529', 'wikidata': 'https://www.wikidata.org/wiki/Q1855669', 'display_name': 'Invariant theory', 'level': 3, 'score': 0.412943}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.08309749}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, '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}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://dial.uclouvain.be/pr/boreal/object/boreal:79765', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S113566553', 'display_name': 'St Petersburg Mathematical Journal', 'issn_l': '1061-0022', 'issn': ['1061-0022', '1547-7371'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310321506', 'host_organization_name': 'Serbian Mathematical Society', 'host_organization_lineage': ['https://openalex.org/P4310321506'], 'host_organization_lineage_names': ['Serbian Mathematical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Reduced inequalities', 'id': 'https://metadata.un.org/sdg/10', 'score': 0.75}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W1699877045', 'https://openalex.org/W1748013871', 'https://openalex.org/W2043523039', 'https://openalex.org/W2144464941', 'https://openalex.org/W2494263530', 'https://openalex.org/W2605342181'], 'related_works': ['https://openalex.org/W3179177616', 'https://openalex.org/W3084153986', 'https://openalex.org/W2964058509', 'https://openalex.org/W2951321656', 'https://openalex.org/W2951238226', 'https://openalex.org/W2895251861', 'https://openalex.org/W2775799983', 'https://openalex.org/W2562503830', 'https://openalex.org/W2494263530', 'https://openalex.org/W2166945020', 'https://openalex.org/W2151931187', 'https://openalex.org/W2128636016', 'https://openalex.org/W2083832605', 'https://openalex.org/W2039964837', 'https://openalex.org/W2025008395', 'https://openalex.org/W1748013871', 'https://openalex.org/W1693637591', 'https://openalex.org/W1644487517', 'https://openalex.org/W1575260287', 'https://openalex.org/W1571322445'], 'abstract_inverted_index': {'For': [0], 'any': [1], 'absolutely': [2], 'simple,': [3], 'simply': [4], 'connected': [5], 'linear': [6], 'algebraic': [7], 'group': [8, 28], 'G': [9, 21, 53], 'over': [10], 'a': [11, 72], 'field': [12], 'F,': [13], 'Rost': [14], 'has': [15], 'defined': [16], 'invariants': [17, 43], 'for': [18, 44], 'torsors': [19, 45], 'under': [20], 'with': [22], 'values': [23], 'in': [24], 'the': [25, 48, 66, 75], 'Galois': [26], 'cohomology': [27], 'H^3(F,Q/Z(2)).': [29], 'The': [30], 'aim': [31], 'of': [32, 41, 50, 55, 68], 'this': [33], 'paper': [34], 'is': [35, 54], 'to': [36], 'give': [37], 'an': [38, 61], 'explicit': [39], 'description': [40], 'these': [42], 'induced': [46], 'from': [47], 'center': [49], 'G,': [51], 'when': [52], 'type': [56], 'A_n': [57], 'or': [58], 'D_n.': [59], 'As': [60], 'application,': [62], 'we': [63], 'show': [64], 'that': [65], 'multipliers': [67], 'unitary': [69], 'similitudes': [70], 'satisfy': [71], 'relation': [73], 'involving': [74], 'discriminant': [76], 'algebra.': [77]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W649195899', 'counts_by_year': [{'year': 2016, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 2}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2024-12-10T02:59:52.941913', 'created_date': '2016-06-24'}