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.

中文翻译：

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BOTT-SAMELSON双模之间的同态

在上一篇论文中，我们定义了一个新的范畴，对赫克代数进行分类。这是 Soergel 双模理论的推广。为了证明定理，假设 Bott-Samelson 双模之间存在某些同态。在本文中，我们证明了这个假设。我们只假设某些双色量子二项式系数消失。