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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 1, Pages 61–66
(Mi smj1822)
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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
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
Citation:
A. S. Gordienko, “Identities on Clifford algebras”, Sibirsk. Mat. Zh., 49:1 (2008), 61–66; Siberian Math. J., 49:1 (2008), 48–52
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https://www.mathnet.ru/eng/smj1822 https://www.mathnet.ru/eng/smj/v49/i1/p61
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Abstract page: | 321 | Full-text PDF : | 110 | References: | 36 |
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