The category $\bcalNT:$ Isomorphism criteria and applications
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866918141373710336 |
|---|---|
| author | Lobos, Diego |
| author_facet | Lobos, Diego |
| contents | The category $\bcalNT$ was introduced in \cite{Lobos2} 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 \cite{EW}. The category $\bcalNT$ have as objects, all that we called \emph{nil graded algebras associated to a triangular matrix} and as morphisms, all the \emph{preserving degree} homomorphisms of graded algebras between them. In this article we develop a series of \emph{isomorphism criteria} on $\bcalNT$ that we used later to find out relevant information on the Gelfand-Tsetlin subalgebras of the diagrammatic Soergel category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15538 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The category $\bcalNT:$ Isomorphism criteria and applications Lobos, Diego Representation Theory 13A02, 16W50, 16G99 The category $\bcalNT$ was introduced in \cite{Lobos2} 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 \cite{EW}. The category $\bcalNT$ have as objects, all that we called \emph{nil graded algebras associated to a triangular matrix} and as morphisms, all the \emph{preserving degree} homomorphisms of graded algebras between them. In this article we develop a series of \emph{isomorphism criteria} on $\bcalNT$ that we used later to find out relevant information on the Gelfand-Tsetlin subalgebras of the diagrammatic Soergel category. |
| title | The category $\bcalNT:$ Isomorphism criteria and applications |
| topic | Representation Theory 13A02, 16W50, 16G99 |
| url | https://arxiv.org/abs/2410.15538 |