$GL_n$-invariant functions on $M_n(\mathcal{G})$

Authors

ALAN BERELE

DOI

10.55730/1300-0098.3224

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 $n\ge3$

Keywords

Invariants, trace identities, matrices over Grassmann algebras

First Page

1667

Last Page

1673

Recommended Citation

BERELE, ALAN (2022) "$GL_n$-invariant functions on $M_n(\mathcal{G})$," Turkish Journal of Mathematics: Vol. 46: No. 5, Article 3. https://doi.org/10.55730/1300-0098.3224
Available at: https://journals.tubitak.gov.tr/math/vol46/iss5/3