Differential Forms on Regular Affine Algebras

Name: Work Video:
Duration: 3 min 30 s
G. Hochschild; Bertram Kostant; Alex Rosenberg
{'id': 'https://openalex.org/W2047413546', 'doi': 'https://doi.org/10.1007/b94535_14', 'title': 'Differential Forms on Regular Affine Algebras', 'display_name': 'Differential Forms on Regular Affine Algebras', 'publication_year': 2009, 'publication_date': '2009-01-01', 'ids': {'openalex': 'https://openalex.org/W2047413546', 'doi': 'https://doi.org/10.1007/b94535_14', 'mag': '2047413546'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/b94535_14', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', 'indexed_in': ['crossref'], '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/A5108231021', 'display_name': 'G. Hochschild', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I63966007', 'display_name': 'Massachusetts Institute of Technology', 'ror': 'https://ror.org/042nb2s44', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I63966007']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'G. Hochschild', 'raw_affiliation_strings': ['Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA', 'institution_ids': ['https://openalex.org/I63966007']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5005023130', 'display_name': 'Bertram Kostant', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I63966007', 'display_name': 'Massachusetts Institute of Technology', 'ror': 'https://ror.org/042nb2s44', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I63966007']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Bertram Kostant', 'raw_affiliation_strings': ['Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA', 'institution_ids': ['https://openalex.org/I63966007']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5065460711', 'display_name': 'Alex Rosenberg', 'orcid': 'https://orcid.org/0000-0001-9672-1360'}, 'institutions': [{'id': 'https://openalex.org/I63966007', 'display_name': 'Massachusetts Institute of Technology', 'ror': 'https://ror.org/042nb2s44', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I63966007']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Alex Rosenberg', 'raw_affiliation_strings': ['Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA', 'institution_ids': ['https://openalex.org/I63966007']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 26.415, 'has_fulltext': False, 'cited_by_count': 290, 'citation_normalized_percentile': {'value': 0.981777, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': None, 'issue': None, 'first_page': '265', 'last_page': '290'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9915, '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'}}, 'topics': [{'id': 'https://openalex.org/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9915, '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/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.9187, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10287', 'display_name': 'Algebraic structures and combinatorial models', 'score': 0.9155, '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/differential-graded-algebra', 'display_name': 'Differential graded algebra', 'score': 0.5974384}, {'id': 'https://openalex.org/keywords/symmetric-algebra', 'display_name': 'Symmetric algebra', 'score': 0.4644831}, {'id': 'https://openalex.org/keywords/homological-algebra', 'display_name': 'Homological algebra', 'score': 0.453966}, {'id': 'https://openalex.org/keywords/ext-functor', 'display_name': 'Ext functor', 'score': 0.4287584}, {'id': 'https://openalex.org/keywords/graded-lie-algebra', 'display_name': 'Graded Lie algebra', 'score': 0.41160944}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7715142}, {'id': 'https://openalex.org/C155058155', 'wikidata': 'https://www.wikidata.org/wiki/Q1673406', 'display_name': 'Universal enveloping algebra', 'level': 3, 'score': 0.6010442}, {'id': 'https://openalex.org/C133558598', 'wikidata': 'https://www.wikidata.org/wiki/Q2916283', 'display_name': 'Differential graded algebra', 'level': 5, 'score': 0.5974384}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5717834}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.5697348}, {'id': 'https://openalex.org/C156772000', 'wikidata': 'https://www.wikidata.org/wiki/Q864475', 'display_name': 'Functor', 'level': 2, 'score': 0.5658292}, {'id': 'https://openalex.org/C169171071', 'wikidata': 'https://www.wikidata.org/wiki/Q5449241', 'display_name': 'Filtered algebra', 'level': 3, 'score': 0.5484392}, {'id': 'https://openalex.org/C100899422', 'wikidata': 'https://www.wikidata.org/wiki/Q5058347', 'display_name': 'Cellular algebra', 'level': 4, 'score': 0.4894904}, {'id': 'https://openalex.org/C176954179', 'wikidata': 'https://www.wikidata.org/wiki/Q1052674', 'display_name': 'Symmetric algebra', 'level': 5, 'score': 0.4644831}, {'id': 'https://openalex.org/C18364862', 'wikidata': 'https://www.wikidata.org/wiki/Q579978', 'display_name': 'Homological algebra', 'level': 3, 'score': 0.453966}, {'id': 'https://openalex.org/C93226319', 'wikidata': 'https://www.wikidata.org/wiki/Q193137', 'display_name': 'Differential (mechanical device)', 'level': 2, 'score': 0.4416356}, {'id': 'https://openalex.org/C33464968', 'wikidata': 'https://www.wikidata.org/wiki/Q1384902', 'display_name': 'Ext functor', 'level': 4, 'score': 0.4287584}, {'id': 'https://openalex.org/C144091092', 'wikidata': 'https://www.wikidata.org/wiki/Q3611543', 'display_name': 'Graded Lie algebra', 'level': 3, 'score': 0.41160944}, {'id': 'https://openalex.org/C14394260', 'wikidata': 'https://www.wikidata.org/wiki/Q4723980', 'display_name': 'Algebra representation', 'level': 3, 'score': 0.34412503}, {'id': 'https://openalex.org/C48808802', 'wikidata': 'https://www.wikidata.org/wiki/Q2007878', 'display_name': 'Functor category', 'level': 3, 'score': 0.13585895}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.10244393}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/b94535_14', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 12, 'referenced_works': ['https://openalex.org/W1488091669', 'https://openalex.org/W1532117000', 'https://openalex.org/W1573797068', 'https://openalex.org/W1874323780', 'https://openalex.org/W1969110320', 'https://openalex.org/W2028714634', 'https://openalex.org/W2037817066', 'https://openalex.org/W2253806737', 'https://openalex.org/W2328881693', 'https://openalex.org/W2330062860', 'https://openalex.org/W4239191450', 'https://openalex.org/W97937181'], 'related_works': ['https://openalex.org/W4245774551', 'https://openalex.org/W4210888433', 'https://openalex.org/W2949355410', 'https://openalex.org/W2770701645', 'https://openalex.org/W2371010880', 'https://openalex.org/W2047413546', 'https://openalex.org/W2025888291', 'https://openalex.org/W2019300091', 'https://openalex.org/W1713945898', 'https://openalex.org/W1526279527'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2047413546', 'counts_by_year': [{'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 8}, {'year': 2020, 'cited_by_count': 16}, {'year': 2019, 'cited_by_count': 7}, {'year': 2018, 'cited_by_count': 6}, {'year': 2017, 'cited_by_count': 6}, {'year': 2016, 'cited_by_count': 14}, {'year': 2015, 'cited_by_count': 11}, {'year': 2014, 'cited_by_count': 12}, {'year': 2013, 'cited_by_count': 9}, {'year': 2012, 'cited_by_count': 10}], 'updated_date': '2024-12-07T17:45:09.299150', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
