Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3101097682', 'doi': 'https://doi.org/10.1088/0264-9381/22/4/002', 'title': 'Automorphism covariant representations of the holonomy-flux lowast-algebra', 'display_name': 'Automorphism covariant representations of the holonomy-flux lowast-algebra', 'publication_year': 2005, 'publication_date': '2005-01-25', 'ids': {'openalex': 'https://openalex.org/W3101097682', 'doi': 'https://doi.org/10.1088/0264-9381/22/4/002', 'mag': '3101097682'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1088/0264-9381/22/4/002', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S171172751', 'display_name': 'Classical and Quantum Gravity', 'issn_l': '0264-9381', 'issn': ['0264-9381', '1361-6382'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320083', 'host_organization_name': 'IOP Publishing', 'host_organization_lineage': ['https://openalex.org/P4310311669', 'https://openalex.org/P4310320083'], 'host_organization_lineage_names': ['Institute of Physics', 'IOP Publishing'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/gr-qc/0405119', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5032721729', 'display_name': 'Andrzej Okołów', 'orcid': 'https://orcid.org/0000-0003-2844-0203'}, 'institutions': [{'id': 'https://openalex.org/I4210086947', 'display_name': 'Institute of Physics', 'ror': 'https://ror.org/000sfad56', 'country_code': 'PL', 'type': 'facility', 'lineage': ['https://openalex.org/I4210086947', 'https://openalex.org/I99542240']}, {'id': 'https://openalex.org/I4654613', 'display_name': 'University of Warsaw', 'ror': 'https://ror.org/039bjqg32', 'country_code': 'PL', 'type': 'education', 'lineage': ['https://openalex.org/I4654613']}], 'countries': ['PL'], 'is_corresponding': False, 'raw_author_name': 'Andrzej Okołów', 'raw_affiliation_strings': ['Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, ul. Hoża 69, 00-681 Warsaw, Poland'], 'affiliations': [{'raw_affiliation_string': 'Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, ul. Hoża 69, 00-681 Warsaw, Poland', 'institution_ids': ['https://openalex.org/I4210086947', 'https://openalex.org/I4654613']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5008426386', 'display_name': 'Jerzy Lewandowski', 'orcid': 'https://orcid.org/0000-0001-8512-1490'}, 'institutions': [{'id': 'https://openalex.org/I130769515', 'display_name': 'Pennsylvania State University', 'ror': 'https://ror.org/04p491231', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I130769515']}, {'id': 'https://openalex.org/I4210086947', 'display_name': 'Institute of Physics', 'ror': 'https://ror.org/000sfad56', 'country_code': 'PL', 'type': 'facility', 'lineage': ['https://openalex.org/I4210086947', 'https://openalex.org/I99542240']}, {'id': 'https://openalex.org/I4654613', 'display_name': 'University of Warsaw', 'ror': 'https://ror.org/039bjqg32', 'country_code': 'PL', 'type': 'education', 'lineage': ['https://openalex.org/I4654613']}], 'countries': ['PL', 'US'], 'is_corresponding': False, 'raw_author_name': 'Jerzy Lewandowski', 'raw_affiliation_strings': ['Center for Gravitational Physics and Geometry, Physics Department, 104 Davey, Penn State, University Park, PA 16802, USA', 'Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, ul. Hoża 69, 00-681 Warsaw, Poland'], 'affiliations': [{'raw_affiliation_string': 'Center for Gravitational Physics and Geometry, Physics Department, 104 Davey, Penn State, University Park, PA 16802, USA', 'institution_ids': ['https://openalex.org/I130769515']}, {'raw_affiliation_string': 'Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, ul. Hoża 69, 00-681 Warsaw, Poland', 'institution_ids': ['https://openalex.org/I4210086947', 'https://openalex.org/I4654613']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 2.575, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 15, 'citation_normalized_percentile': {'value': 0.6493, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 84, 'max': 85}, 'biblio': {'volume': '22', 'issue': '4', 'first_page': '657', 'last_page': '679'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11415', 'display_name': 'Noncommutative and Quantum Gravity Theories', 'score': 0.9997, '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'}}, 'topics': [{'id': 'https://openalex.org/T11415', 'display_name': 'Noncommutative and Quantum Gravity Theories', 'score': 0.9997, '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'}}, {'id': 'https://openalex.org/T10025', 'display_name': 'Black Holes and Theoretical Physics', 'score': 0.999, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy Physics'}, '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/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.998, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/holonomy', 'display_name': 'Holonomy', 'score': 0.8738878}], 'concepts': [{'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.92380714}, {'id': 'https://openalex.org/C32518243', 'wikidata': 'https://www.wikidata.org/wiki/Q907926', 'display_name': 'Holonomy', 'level': 2, 'score': 0.8738878}, {'id': 'https://openalex.org/C9136319', 'wikidata': 'https://www.wikidata.org/wiki/Q362640', 'display_name': 'Covariant transformation', 'level': 2, 'score': 0.85272145}, {'id': 'https://openalex.org/C118712358', 'wikidata': 'https://www.wikidata.org/wiki/Q782566', 'display_name': 'Automorphism', 'level': 2, 'score': 0.57991534}, {'id': 'https://openalex.org/C68709404', 'wikidata': 'https://www.wikidata.org/wiki/Q1134475', 'display_name': 'Flux (metallurgy)', 'level': 2, 'score': 0.5154184}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.47019136}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.46507025}, {'id': 'https://openalex.org/C124453015', 'wikidata': 'https://www.wikidata.org/wiki/Q1139583', 'display_name': 'Inner automorphism', 'level': 4, 'score': 0.43574536}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4121158}, {'id': 'https://openalex.org/C2988750069', 'wikidata': 'https://www.wikidata.org/wiki/Q60790315', 'display_name': 'Automorphism group', 'level': 3, 'score': 0.13792342}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.062570214}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C191897082', 'wikidata': 'https://www.wikidata.org/wiki/Q11467', 'display_name': 'Metallurgy', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1088/0264-9381/22/4/002', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S171172751', 'display_name': 'Classical and Quantum Gravity', 'issn_l': '0264-9381', 'issn': ['0264-9381', '1361-6382'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320083', 'host_organization_name': 'IOP Publishing', 'host_organization_lineage': ['https://openalex.org/P4310311669', 'https://openalex.org/P4310320083'], 'host_organization_lineage_names': ['Institute of Physics', 'IOP Publishing'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/gr-qc/0405119', 'pdf_url': 'http://arxiv.org/pdf/gr-qc/0405119', '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.gr-qc/0405119', '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': 'http://arxiv.org/abs/gr-qc/0405119', 'pdf_url': 'http://arxiv.org/pdf/gr-qc/0405119', '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': [], 'grants': [], 'datasets': [], 'versions': ['https://openalex.org/W3101097682'], 'referenced_works_count': 21, 'referenced_works': ['https://openalex.org/W1811947045', 'https://openalex.org/W1859504377', 'https://openalex.org/W1947273351', 'https://openalex.org/W2020174113', 'https://openalex.org/W2026139050', 'https://openalex.org/W2037266697', 'https://openalex.org/W2062305579', 'https://openalex.org/W2087855902', 'https://openalex.org/W2095458826', 'https://openalex.org/W2132550135', 'https://openalex.org/W2138547238', 'https://openalex.org/W2142175688', 'https://openalex.org/W2144505517', 'https://openalex.org/W2312200972', 'https://openalex.org/W3047769892', 'https://openalex.org/W3102178308', 'https://openalex.org/W3103218906', 'https://openalex.org/W3104922789', 'https://openalex.org/W3123999804', 'https://openalex.org/W4233500204', 'https://openalex.org/W4249392719'], 'related_works': ['https://openalex.org/W4245623741', 'https://openalex.org/W4237349735', 'https://openalex.org/W3097737858', 'https://openalex.org/W234221467', 'https://openalex.org/W2313746865', 'https://openalex.org/W2255396244', 'https://openalex.org/W2136606221', 'https://openalex.org/W2037605869', 'https://openalex.org/W2026592236', 'https://openalex.org/W182344391'], 'abstract_inverted_index': {'We': [0, 22, 80], 'continue': [1], 'an': [2, 24], 'analysis': [3], 'of': [4, 6, 18, 28, 54, 56, 67, 85, 88, 110, 121, 129], 'representations': [5], 'cylindrical': [7], 'functions': [8], 'and': [9, 34, 70, 95, 149], 'fluxes': [10], 'which': [11], 'are': [12], 'commonly': [13], 'used': [14], 'as': [15], 'elementary': [16, 47], 'variables': [17], 'Loop': [19], 'Quantum': [20], 'Gravity.': [21], 'consider': [23], 'arbitrary': [25], 'principal': [26, 145], 'bundle': [27, 58, 146], 'a': [29, 39, 51, 86, 92, 104, 107, 115, 127], 'compact': [30], 'connected': [31], 'structure': [32], 'group': [33], 'following': [35], "Sahlmann's": [36], 'ideas': [37], 'define': [38, 81], 'holonomy-flux': [40], '*-algebra': [41], 'whose': [42], 'elements': [43], 'correspond': [44], 'to': [45], 'the': [46, 57, 60, 62, 65, 74, 82, 89, 98, 119, 144], 'variables.': [48], 'There': [49], 'exists': [50], 'natural': [52], 'action': [53, 63, 66], 'automorphisms': [55], 'on': [59, 73, 91, 118], 'algebra;': [61], 'generalizes': [64], 'analytic': [68], 'diffeomorphisms': [69], 'gauge': [71], 'transformations': [72], 'algebra': [75, 90], 'considered': [76], 'in': [77], 'earlier': [78], 'works.': [79], 'automorphism': [83], 'covariance': [84], '*-representation': [87], 'Hilbert': [93, 100], 'space': [94, 101, 120], 'prove': [96], 'that': [97, 143], 'only': [99], 'admitting': [102], 'such': [103], 'representation': [105], 'is': [106, 126, 147, 153], 'direct': [108], 'sum': [109], 'spaces': [111], 'L^2': [112], 'given': [113], 'by': [114], 'unique': [116], 'measure': [117], 'generalized': [122], 'connections.': [123], 'This': [124], 'result': [125], 'generalization': [128], 'our': [130], 'previous': [131], 'work': [132], '(Class.': [133], 'Quantum.': [134], 'Grav.': [135], '20': [136], '(2003)': [137], '3543-3567,': [138], 'gr-qc/0302059)': [139], 'where': [140], 'we': [141], 'assumed': [142], 'trivial,': [148], 'its': [150], 'base': [151], 'manifold': [152], 'R^d.': [154]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3101097682', 'counts_by_year': [{'year': 2013, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-08T06:31:47.784358', 'created_date': '2020-11-23'}