English

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

Representation Theory 2024-02-13 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2301.01416,
  title  = {Nil graded algebras associated to triangular matrices and their applications to Soergel Calculus},
  author = {Diego Lobos},
  journal= {arXiv preprint arXiv:2301.01416},
  year   = {2024}
}

Comments

Version 2. 26 pages. Best viewed in color