Irreducible Generic Gelfand-Tsetlin Modules of gl(n)

Author(s)

Futorny, Vyacheslav ^[1] ; Grantcharov, Dimitar ^[2] ; Ramirez, Luis Enrique ^[1]

Affiliation

^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP - Brazil

^[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 - USA

• Document type: Journal article
• Source: Symmetry Integrability and Geometry-Methods and Applications; v. 11, 2015.
• Web of Science Citations: 16

Abstract

We provide a classification and explicit bases of tableaux of all irreducible generic Gelfand-Tsetlin modules for the Lie algebra gl(n). (AU)

• FAPESP's process: 11/21621-8 - Representations of Lie (super)algebras of vector fields
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• FAPESP's process: 14/09310-5 - Algebraic structures and their representations
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 12/23450-9 - Gelfand-Tsetlin modules for Lie algebras
• Grantee: Luis Enrique Ramírez
• Support Opportunities: Scholarships in Brazil - Post-Doctoral