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Tensor fundamental theorems of invariant theory

Published 21 Nov 2020 in math.RT and math.RA | (2011.10820v3)

Abstract: The aim of this paper is to establish a first and second fundamental theorem for $GL(V)$ equivariant polynomial maps from $k$--tuples of matrix variables $End(V){ k} $ to tensor spaces $End(V){ \otimes n}$ in the spirit of H. Weyl's book {\em The classical groups} \cite{Weyl} and of symbolic algebra.

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