A homomorphism between Bott-Samelson bimodules (Q6655550)
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scientific article; zbMATH DE number 7960605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A homomorphism between Bott-Samelson bimodules |
scientific article; zbMATH DE number 7960605 |
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A homomorphism between Bott-Samelson bimodules (English)
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27 December 2024
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In a previous paper [Compos. Math. 157, No. 10, 2133--2159 (2021; Zbl 1547.20019)] the author defined a new category which categorifies the Hecke algebra which is a generalization of the theory of Soergel bimodules. In that paper, in order to prove certain theorems, he assumed the existence of certain homomorphisms between Bott-Samelson bimodules.\N\NIn the paper under review, he proves the existence of such homomorphisms, assuming only the vanishing of certain two-colored quantum binomial coefficients.
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Soergel bimodule
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Bott-Samelson bimodule
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Coxeter group
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