底-萨缪尔森双模子之间的同态性

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2024-01-22 DOI:10.1017/nmj.2023.38

NORIYUKI ABE

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引用次数: 0

摘要

在前一篇论文中，我们定义了一个新范畴，它将赫克代数分类。这是对索格尔双模理论的概括。为了证明定理，我们假设博特-萨缪尔森双模之间存在某些同构。本文将证明这一假设。我们只假设某些双色量子二项式系数消失。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A HOMOMORPHISM BETWEEN BOTT–SAMELSON BIMODULES

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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来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.