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arXiv · 1707.09384

K-projectors

Alexander Odesskii
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Abstract

We study representations of a free associative algebra $T^*(W\otimes W^*)$ in a vector space $V$ with the property $V\otimes V\cong V\oplus V_0$ where $T^*(W\otimes W^*)$ acts by zero on $V_0$ and the tensor product $V\otimes V$ of representations corresponds to the natural homomorphism $W\otimes W^*\to W\otimes W^* \otimes W\otimes W^*$. We develop an algebraic theory of such objects and construct a lot of examples.

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Alexander Odesskii. 2017-07-28. K-projectors. https://arxiv.org/abs/1707.09384

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