Tensor fundamental theorems of invariant theory

Claudio Procesi

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arXiv · 2011.10820

Tensor fundamental theorems of invariant theory

Claudio Procesi

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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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Claudio Procesi. 2020-11-21. Tensor fundamental theorems of invariant theory. https://arxiv.org/abs/2011.10820

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