The central polynomials for the finite dimensional Grassmann algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• ISSN: 1726-3255
• 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
• 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.

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.