{"id":"https://openalex.org/W2994740642","doi":"https://doi.org/10.1007/s10998-019-00304-2","title":"Cohomology of $$\\mathfrak {aff}(n|1)$$ acting on the spaces of linear differential operators on the superspace $$\\mathbb {R}^{1|n}$$","display_name":"Cohomology of $$\\mathfrak {aff}(n|1)$$ acting on the spaces of linear differential operators on the superspace $$\\mathbb {R}^{1|n}$$","publication_year":2019,"publication_date":"2019-12-09","ids":{"openalex":"https://openalex.org/W2994740642","doi":"https://doi.org/10.1007/s10998-019-00304-2","mag":"2994740642"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-019-00304-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00304-2","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"N. Ben\u00a0Fraj","orcid":null},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"N. Ben\u00a0Fraj","raw_affiliation_strings":["Institut Sup\u00e9rieur des Sciences Appliqu\u00e9es et Technologie, Sousse, Tunisia"],"affiliations":[{"raw_affiliation_string":"Institut Sup\u00e9rieur des Sciences Appliqu\u00e9es et Technologie, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055400711","display_name":"Thamer Faidi","orcid":"https://orcid.org/0000-0002-8664-9075"},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"T. Faidi","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences de Sfax, BP 802, 3038, Sfax, Tunisia"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences de Sfax, BP 802, 3038, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065992617","display_name":"Hafedh Khalfoun","orcid":null},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"H. Khalfoun","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences de Sfax, BP 802, 3038, Sfax, Tunisia"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences de Sfax, BP 802, 3038, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036110344","display_name":"Z. Abdelwaheb","orcid":null},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Z. Abdelwaheb","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences de Sfax, BP 802, 3038, Sfax, Tunisia"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Facult\u00e9 des Sciences de Sfax, BP 802, 3038, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I8636806"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30230103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"80","issue":"1","first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":1.0,"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":1.0,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9991999864578247,"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":0.9984999895095825,"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/superspace","display_name":"Superspace","score":0.9338686466217041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9093082547187805},{"id":"https://openalex.org/keywords/cohomology","display_name":"Cohomology","score":0.8322655558586121},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6179891228675842},{"id":"https://openalex.org/keywords/lie-superalgebra","display_name":"Lie superalgebra","score":0.6144084930419922},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.59666907787323},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.43311116099357605},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2852226197719574},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.21891111135482788},{"id":"https://openalex.org/keywords/affine-lie-algebra","display_name":"Affine Lie algebra","score":0.09840920567512512}],"concepts":[{"id":"https://openalex.org/C119374780","wikidata":"https://www.wikidata.org/wiki/Q6501705","display_name":"Superspace","level":3,"score":0.9338686466217041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9093082547187805},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.8322655558586121},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6179891228675842},{"id":"https://openalex.org/C78804095","wikidata":"https://www.wikidata.org/wiki/Q1133024","display_name":"Lie superalgebra","level":5,"score":0.6144084930419922},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.59666907787323},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.43311116099357605},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2852226197719574},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.21891111135482788},{"id":"https://openalex.org/C5475112","wikidata":"https://www.wikidata.org/wiki/Q632521","display_name":"Affine Lie algebra","level":4,"score":0.09840920567512512},{"id":"https://openalex.org/C116674579","wikidata":"https://www.wikidata.org/wiki/Q193442","display_name":"Supersymmetry","level":2,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C81999800","wikidata":"https://www.wikidata.org/wiki/Q1454725","display_name":"Current algebra","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-019-00304-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00304-2","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1558974614","https://openalex.org/W1823823160","https://openalex.org/W1964217804","https://openalex.org/W1990028191","https://openalex.org/W2003465314","https://openalex.org/W2010515378","https://openalex.org/W2012662679","https://openalex.org/W2035948557","https://openalex.org/W2119910397","https://openalex.org/W2150590997","https://openalex.org/W2173178029","https://openalex.org/W2201015558","https://openalex.org/W3102604854","https://openalex.org/W3103491521","https://openalex.org/W4214685739"],"related_works":["https://openalex.org/W2488175418","https://openalex.org/W1662402987","https://openalex.org/W2399189215","https://openalex.org/W4309885808","https://openalex.org/W1971483315","https://openalex.org/W2173178029","https://openalex.org/W2522397500","https://openalex.org/W4295724591","https://openalex.org/W2953747280","https://openalex.org/W2119910397"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-25T23:56:10.502304","created_date":"2025-10-10T00:00:00"}