Abstract

We describe the $GL_n(F)$-invariant functions on $M_n(\mathcal{G})$ (where $\mathcal{G}$ is the infinite dimensional Grassmann algebra) and show that not all of them are trace polynomials, if $n\ge3$

DOI

10.55730/1300-0098.3224

Keywords

Invariants, trace identities, matrices over Grassmann algebras

First Page

1667

Last Page

1673

Recommended Citation

BERELE, A (2022). $GL_n$-invariant functions on $M_n(\mathcal{G})$. Turkish Journal of Mathematics 46 (5): 1667-1673. https://doi.org/10.55730/1300-0098.3224

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