Publication Information

{'id': 'https://openalex.org/W4296472666', 'doi': 'https://doi.org/10.48550/arxiv.1604.08726', 'title': 'On the complete integrability of the periodic quantum Toda lattice', 'display_name': 'On the complete integrability of the periodic quantum Toda lattice', 'publication_year': 2016, 'publication_date': '2016-01-01', 'ids': {'openalex': 'https://openalex.org/W4296472666', 'doi': 'https://doi.org/10.48550/arxiv.1604.08726'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1604.08726', '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': ['arxiv', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/abs/1604.08726', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5109426304', 'display_name': 'Augustin-Liviu Mare', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Mare, Augustin-Liviu', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5109426304'], '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9983, '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'}}, 'topics': [{'id': 'https://openalex.org/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9983, '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': 0.996, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9958, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/toda-lattice', 'display_name': 'Toda lattice', 'score': 0.94139874}, {'id': 'https://openalex.org/keywords/dynkin-diagram', 'display_name': 'Dynkin diagram', 'score': 0.89022315}, {'id': 'https://openalex.org/keywords/flag', 'display_name': 'Flag (linear algebra)', 'score': 0.76043266}, {'id': 'https://openalex.org/keywords/lattice', 'display_name': 'Lattice (music)', 'score': 0.57636666}], 'concepts': [{'id': 'https://openalex.org/C7322696', 'wikidata': 'https://www.wikidata.org/wiki/Q572090', 'display_name': 'Toda lattice', 'level': 3, 'score': 0.94139874}, {'id': 'https://openalex.org/C114411622', 'wikidata': 'https://www.wikidata.org/wiki/Q5319218', 'display_name': 'Dynkin diagram', 'level': 3, 'score': 0.89022315}, {'id': 'https://openalex.org/C2776730729', 'wikidata': 'https://www.wikidata.org/wiki/Q1392130', 'display_name': 'Flag (linear algebra)', 'level': 3, 'score': 0.76043266}, {'id': 'https://openalex.org/C136660716', 'wikidata': 'https://www.wikidata.org/wiki/Q7269022', 'display_name': 'Quantum cohomology', 'level': 4, 'score': 0.7529087}, {'id': 'https://openalex.org/C84114770', 'wikidata': 'https://www.wikidata.org/wiki/Q46344', 'display_name': 'Quantum', 'level': 2, 'score': 0.69950247}, {'id': 'https://openalex.org/C200741047', 'wikidata': 'https://www.wikidata.org/wiki/Q1957758', 'display_name': 'Integrable system', 'level': 2, 'score': 0.6514616}, {'id': 'https://openalex.org/C92757383', 'wikidata': 'https://www.wikidata.org/wiki/Q382497', 'display_name': 'Affine transformation', 'level': 2, 'score': 0.5890625}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5814268}, {'id': 'https://openalex.org/C2781204021', 'wikidata': 'https://www.wikidata.org/wiki/Q6497091', 'display_name': 'Lattice (music)', 'level': 2, 'score': 0.57636666}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5728292}, {'id': 'https://openalex.org/C148647251', 'wikidata': 'https://www.wikidata.org/wiki/Q2122223', 'display_name': 'Quantum group', 'level': 3, 'score': 0.41777524}, {'id': 'https://openalex.org/C51568863', 'wikidata': 'https://www.wikidata.org/wiki/Q664495', 'display_name': 'Lie algebra', 'level': 2, 'score': 0.3786938}, {'id': 'https://openalex.org/C78606066', 'wikidata': 'https://www.wikidata.org/wiki/Q1198376', 'display_name': 'Cohomology', 'level': 2, 'score': 0.37176588}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.35429257}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.30193585}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.25444204}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.18829599}, {'id': 'https://openalex.org/C72738302', 'wikidata': 'https://www.wikidata.org/wiki/Q5384738', 'display_name': 'Equivariant cohomology', 'level': 3, 'score': 0.058956087}, {'id': 'https://openalex.org/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1604.08726', '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': True, 'landing_page_url': 'http://arxiv.org/abs/1604.08726', 'pdf_url': 'http://arxiv.org/pdf/1604.08726', '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': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1604.08726', '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/1604.08726', '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': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W4297850725', 'https://openalex.org/W4296472666', 'https://openalex.org/W3125182057', 'https://openalex.org/W2963226800', 'https://openalex.org/W2962818693', 'https://openalex.org/W2952503687', 'https://openalex.org/W2344416970', 'https://openalex.org/W2123497143', 'https://openalex.org/W2021513135', 'https://openalex.org/W1938502143'], 'abstract_inverted_index': {'We': [0], 'prove': [1], 'that': [2, 54], 'the': [3, 34, 37, 44], 'periodic': [4], 'quantum': [5, 47], 'Toda': [6], 'lattice': [7], 'corresponding': [8], 'to': [9, 57, 69], 'any': [10], 'extended': [11, 68], 'Dynkin': [12], 'diagram': [13], 'is': [14], 'completely': [15], 'integrable.': [16], 'This': [17], 'has': [18], 'been': [19], 'conjectured': [20], 'and': [21, 27, 31], 'proved': [22], 'in': [23, 43], 'all': [24, 70], 'classical': [25], 'cases': [26], '$E_6$': [28], 'by': [29], 'Goodman': [30], 'Wallach': [32], 'at': [33], 'beginning': [35], 'of': [36, 46, 49], "1980's.": [38], 'As': [39], 'a': [40], 'direct': [41], 'application,': [42], 'context': [45], 'cohomology': [48], 'affine': [50], 'flag': [51], 'manifolds,': [52], 'results': [53], 'were': [55], 'known': [56], 'hold': [58], 'only': [59], 'for': [60], 'some': [61], 'particular': [62], 'Lie': [63], 'types': [64], 'can': [65], 'now': [66], 'be': [67], 'types.': [71]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4296472666', 'counts_by_year': [], 'updated_date': '2024-12-15T21:59:54.893404', 'created_date': '2022-09-21'}