The central polynomials for the finite dimensional Grassmann algebras

Plamen Koshlukov, Alexei Krasilnikov, Elida Alves da Silva

Abstract


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


Keywords


polynomial identities, central polynomials, Grassmann algebra

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