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A homomorphism between Bott-Samelson bimodules (2012.09414v2)
Published 17 Dec 2020 in math.RT
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.