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arXiv · 2006.04328

The representation theory of Brauer categories I: triangular categories

Steven V Sam·Andrew Snowden
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Abstract

This is the first in a series of papers in which we study representations of the Brauer category and its allies. We define a general notion of triangular category that abstracts key properties of the triangular decomposition of a semisimple complex Lie algebra, and develop a highest weight theory for them. We show that the Brauer category, the partition category, and a number of related diagram categories admit this structure.

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BibTeXRIS

Steven V Sam, Andrew Snowden. 2020-06-08. The representation theory of Brauer categories I: triangular categories. https://doi.org/10.1007/s10485-022-09689-7

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