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arXiv · 2511.15604

Higher Tensor Product for sl2 and Webster algebras

Mark Ebert·Raphael Rouquier
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Abstract

We construct a model for the tensor product of the regular 2-representation of the enveloping algebra of $\mathfrak{sl}_2^+$ with the vector 2-representation, based on the $\infty$-categorical definition of the second author. Our model contains McMillan's minimal one. Our use of an infinite family of generators provides a simpler model that we prove is equivalent to Webster's tensor product category.

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Mark Ebert, Raphael Rouquier. 2025-11-19. Higher Tensor Product for sl2 and Webster algebras. https://arxiv.org/abs/2511.15604

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