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arXiv · 2209.10337

Multiplicities and dimensions in enveloping tensor categories

Friedrich Knop
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Abstract

In the previous paper arxiv:math/0610552 semisimple tensor categories were constructed out of certain regular Mal'cev categories. In this paper, we calculate the tensor product multiplicities and the categorical dimensions of the simple objects. This yields also the Grothendieck ring. The main tool is the subquotient decomposition of the basic objects.

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Friedrich Knop. 2022-09-21. Multiplicities and dimensions in enveloping tensor categories. https://doi.org/10.1093/imrn%2Frnad303

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