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

Authors: ALAN BERELE

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

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