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arXiv · 2509.01404

Combinatorics of monoidal actions in Lie-algebraic context

Volodymyr Mazorchuk·Xiaoyu Zhu
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Abstract

This paper is, essentially, a survey related to the problem of understanding the combinatorics of the action of the monoidal category of finite dimensional modules over a simple finite dimensional Lie algebra on various categories of Lie algebra modules. A special attention is payed to the Lie algebras $\mathfrak{sl}_2$ and $\mathfrak{sl}_3$. A few new general results are collected at the end.

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BibTeXRIS

Volodymyr Mazorchuk, Xiaoyu Zhu. 2025-09-01. Combinatorics of monoidal actions in Lie-algebraic context. https://arxiv.org/abs/2509.01404

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