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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Published in:Algebra and Discrete Mathematics
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
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
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author Koshlukov, P.
Krasilnikov, A.
Elida Alves da Silva
author_facet Koshlukov, P.
Krasilnikov, A.
Elida Alves da Silva
citation_txt 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.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description 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.
first_indexed 2025-11-26T10:15:39Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-26T10:15:39Z
publishDate 2009
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Koshlukov, P.
Krasilnikov, A.
Elida Alves da Silva
2019-06-15T16:08:23Z
2019-06-15T16:08:23Z
2009
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.
1726-3255
2000 Mathematics Subject Classification:16R10.
https://nasplib.isofts.kiev.ua/handle/123456789/154494
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
The central polynomials for the finite dimensional Grassmann algebras
Article
published earlier
spellingShingle The central polynomials for the finite dimensional Grassmann algebras
Koshlukov, P.
Krasilnikov, A.
Elida Alves da Silva
title The central polynomials for the finite dimensional Grassmann algebras
title_full The central polynomials for the finite dimensional Grassmann algebras
title_fullStr The central polynomials for the finite dimensional Grassmann algebras
title_full_unstemmed The central polynomials for the finite dimensional Grassmann algebras
title_short The central polynomials for the finite dimensional Grassmann algebras
title_sort central polynomials for the finite dimensional grassmann algebras
url https://nasplib.isofts.kiev.ua/handle/123456789/154494
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AT krasilnikova thecentralpolynomialsforthefinitedimensionalgrassmannalgebras
AT elidaalvesdasilva thecentralpolynomialsforthefinitedimensionalgrassmannalgebras
AT koshlukovp centralpolynomialsforthefinitedimensionalgrassmannalgebras
AT krasilnikova centralpolynomialsforthefinitedimensionalgrassmannalgebras
AT elidaalvesdasilva centralpolynomialsforthefinitedimensionalgrassmannalgebras