与三角矩阵相关的无级代数及其在索格尔微积分中的应用

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2024-07-03 DOI:10.1016/j.jpaa.2024.107766

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引用次数: 0

摘要

我们引入并研究了一类与博特-萨缪尔森双模的内象代数的格尔芬-策林子代数结构密切相关的代数。我们开发了一系列技术，使我们能够获得在图解索格尔范畴背景下出现的许多格尔芬-策林子代数的最佳表述。

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Nil graded algebras associated to triangular matrices and their applications to Soergel calculus

We introduce and study a category of algebras strongly connected with the structure of the Gelfand-Tsetlin subalgebras of the endomorphism algebras of Bott-Samelson bimodules. We develop a series of techniques that allow us to obtain optimal presentations for the many Gelfand-Tsetlin subalgebras appearing in the context of the Diagrammatic Soergel Category.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.