The central polynomials for the finite dimensional Grassmann algebras

In this note we describe the central polynomials for the finite dimensional unitary Grassmann algebras Gk over an infinite field F of characteristic ≠2. We exhibit a set of generators of C(Gk), the T-space of the central polynomials of Gk in a free associative F-algebra.

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Bibliographic Details
Date:2009
Main Authors: Koshlukov, P., Krasilnikov, A., Elida Alves da Silva
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2009
Series:Algebra and Discrete Mathematics
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/154494
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The central polynomials for the finite dimensional Grassmann algebras / P. Koshlukov, A. Krasilnikov, Elida Alves da Silva // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 69–76. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine