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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 1, Pages 61–66 (Mi smj1822)  
This article is cited in 1 scientific paper (total in 1 paper)

Identities on Clifford algebras

A. S. Gordienko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: We obtain some estimates of the codimensions and $PI$-exponent of identities on the Clifford algebras associated to a quadratic form of a given rank, find a hook where the cocharacters of Clifford algebras lie, exhibit an identity that holds on the Clifford algebras of a given rank, and describe the multilinear identities of minimal degree for the Clifford algebras of rank 1.
Keywords: Clifford algebra, polynomial identity, codimension, cocharacter, $PI$-exponent.
Received: 13.06.2006
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 1, Pages 48–52
DOI: https://doi.org/10.1007/s11202-008-0005-0
Bibliographic databases:
UDC: 512.552.4
Language: Russian
Citation: A. S. Gordienko, “Identities on Clifford algebras”, Sibirsk. Mat. Zh., 49:1 (2008), 61–66; Siberian Math. J., 49:1 (2008), 48–52
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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