2024/10/20 by Diego Lobos, Lobos, Diego
Computer Science · Mathematics · #Logic, programming, and type systems #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2410.15538
The category \bcalNT was introduced in \citeLobos2 in order to provide a structural setting to the study of the many Gelfand-Tsetlin subalgebras appearing in the context of the diagrammatic Soergel category of Elias and Williamson \citeEW. The category \bcalNT have as objects, all that we called nil graded algebras associated to a triangular matrix and as morphisms, all the preserving degree homomorphisms of graded algebras between them. In this article we develop a series of isomorphism criteria on \bcalNT that we used later to find out relevant information on the Gelfand-Tsetlin subalgebras of the diagrammatic Soergel category.