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Izvestiya: Mathematics, 2016, Volume 80, Issue 5, Pages 869–883
DOI: https://doi.org/10.1070/IM8473 (Mi im8473) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Cohomological invariants of central simple algebras

A. S. Merkur'ev

California State University, Los Angeles, Department of Mathematics
English version PDF (302 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM8473
Abstract: We determine the indecomposable degree 3 cohomological invariants of tuples of central simple algebras with linear relations. Equivalently, we determine the degree 3 reductive cohomological invariants of all split semisimple groups of type $A$.
Keywords: cohomological invariants, simple algebras, semisimple groups.
Funding agency Grant number
National Science Foundation DMS #1160206
This work was supported by the NSF grant DMS no. 1160206.
Received: 12.11.2015
Revised: 19.01.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 5, Pages 61–76
DOI: https://doi.org/10.4213/im8473
Bibliographic databases:
Document Type: Article
UDC: 512.552.33
MSC: 11E72, 12G05
Language: English
Original paper language: Russian
Citation: A. S. Merkur'ev, “Cohomological invariants of central simple algebras”, Izv. RAN. Ser. Mat., 80:5 (2016), 61–76; Izv. Math., 80:5 (2016), 869–883
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM8473
  • https://www.mathnet.ru/eng/im/v80/i5/p61
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:425
    Russian version PDF:63
    English version PDF:15
    References:68
    First page:26
     
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