Multiplicities and Dimensions in Enveloping Tensor Categories

Knop F (2024)

Publication Type: Journal article

Publication year: 2024

Journal

International Mathematics Research Notices Oxford University Press (OUP): Policy H - Oxford Open Option A

Book Volume: 2024

Pages Range: 7776-7797

Journal Issue: 9

DOI: 10.1093/imrn/rnad303

Abstract

In a previous paper, semisimple tensor categories were constructed from 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 generating objects.

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie)

How to cite

APA:

Knop, F. (2024). Multiplicities and Dimensions in Enveloping Tensor Categories. International Mathematics Research Notices, 2024(9), 7776-7797. https://doi.org/10.1093/imrn/rnad303

MLA:

Knop, Friedrich. "Multiplicities and Dimensions in Enveloping Tensor Categories." International Mathematics Research Notices 2024.9 (2024): 7776-7797.

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