A homomorphism between Bott-Samelson bimodules

2020/12/17 by Abe, Noriyuki · 1 citation
#20F55 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2012.09414

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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