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May 2006 Distributors on a tensor category
D. TAMBARA
Hokkaido Math. J. 35(2): 379-425 (May 2006). DOI: 10.14492/hokmj/1285766362

Abstract

Let $\cA$ be a tensor category and let $\cV$ denote the category of vector spaces. A distributor on $\cA$ is a functor $\cA^{\op}\times \cA\to \cV$. We are concerned with distributors with two-sided $\cA$-action. Those distributors form a tensor category, which we denoted by ${}_{\cA}\bD(\cA,\cA)_{\cA}$. The functor category $\Hom(\cA^{\op},\cV)$ is also a tensor category and has the center $\bZ(\Hom(\cA^{\op},\cV))$. We show that if $\cA$ is rigid, then ${}_{\cA}\bD(\cA,\cA)_{\cA}$ and $\bZ(\Hom(\cA^{\op},\cV))$ are equivalent as tensor categories.

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D. TAMBARA. "Distributors on a tensor category." Hokkaido Math. J. 35 (2) 379 - 425, May 2006. https://doi.org/10.14492/hokmj/1285766362

Information

Published: May 2006
First available in Project Euclid: 29 September 2010

zbMATH: 1103.18009
MathSciNet: MR2254657
Digital Object Identifier: 10.14492/hokmj/1285766362

Subjects:
Primary: 18D10

Keywords: center , distributor , tensor category

Rights: Copyright © 2006 Hokkaido University, Department of Mathematics

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Vol.35 • No. 2 • May 2006
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