Gelfand-Tsetlin modules of sl(3) in the principal block

Author(s)

Futorny, Vyacheslav ; Grantcharov, Dimitar ; Ramirez, Luis Enrique ; Jing, N ; Misra, KC

• Document type: Journal article
• Source: REPRESENTATIONS OF LIE ALGEBRAS, QUANTUM GROUPS AND RELATED TOPICS; v. 713, p. 14-pg., 2018-01-01.

Abstract

We provide complete description of the simple modules in the principal block of the category of Gelfand-Tsetlin modules of sl(3). In addition, we prove that every such module is a subquotient of a localization of a highest weight module. (AU)

• FAPESP's process: 14/09310-5 - Algebraic structures and their representations
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Projects - Thematic Grants