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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| Datum: | 2009 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154494 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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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