On the simplicity of Kac modules for the restricted Lie superalgebra gl(m,n)

2014/04/29 by Chaowen Zhang, Zhang, Chaowen
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1404.7342

openalex publication_date 2014/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The polynomial which determine the simplicity of the Kac modules for the restricted Lie superalgebra gl(m,n) is completely determined by a characteristic free approach. Its application on the nonrestricted representation is investigated.

Related

• On simple modules for the restricted Lie superalgebra gl(m|n)
• Representations of the restricted Cartan type Lie superalgebra W(m,n,1)
• The simplicity of Kac modules for the quantum superalgebra U_q(gl(m,n))
• On Kac-Weisfeiler modules for general and special linear Lie superalgebras
• Representations of Lie superalgebras in prime characteristic III