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

Fuente: arXiv
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1. Verfasser: Lobos, Diego
Format: Preprint
Veröffentlicht: 2023
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author Lobos, Diego
author_facet Lobos, Diego
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2301_01416
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Nil graded algebras associated to triangular matrices and their applications to Soergel Calculus
Lobos, Diego
Representation Theory
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.
title Nil graded algebras associated to triangular matrices and their applications to Soergel Calculus
topic Representation Theory
url https://arxiv.org/abs/2301.01416