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arXiv · 2012.09414

A homomorphism between Bott-Samelson bimodules

Noriyuki Abe
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Abstract

In the previous paper, we defined a new category which categorifies the Hecke algebra. This is a generalization of the theory of Soergel bimodules. To prove theorems, the existences of certain homomorphisms between Bott-Samelson bimodules are assumed. In this paper, we prove this assumption. We only assume the vanishing of certain two-colored quantum binomial coefficients.

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Noriyuki Abe. 2020-12-17. A homomorphism between Bott-Samelson bimodules. https://arxiv.org/abs/2012.09414

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