The central polynomials for the finite dimensional Grassmann algebras

• Date: 2018
• Main Authors: Koshlukov, Plamen, Krasilnikov, Alexei, da Silva, Elida Alves
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: polynomial identities; central polynomials; Grassmann algebra; 16R10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/788
• Journal Title: Algebra and Discrete Mathematics

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 \(F\)-algebr...