Finite basis property for some classes of irreducible representations of the symmetric groups

2003/01/06 by Vladimir Shchigolev, Shchigolev, Vladimir
Mathematics · #20C30 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT #msc:20C30

paper · pdf · doi:10.48550/arxiv.math/0301039

10 pages, to appear in Matematicheskii Sbornik

arxiv created 2003/01/06 · openalex publication_date 2003/01/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the possibility to define irreducible representations of the symmetric groups with the help of finitely many relations. The existence of finite bases is established for the classes of representations corresponding to two-part partitions and to partitions from the fundamental alcove.

Related

• Irreducible decomposition and calculating of multiplicity of the symmetric and exterior powers representation of finite groups
• A natural representation model for symmetric groups
• On the representations of the infinite symmetric group
• Irreducible representations of finite spin groups
• Irreducible restrictions of representations of symmetric and alternating\n groups in small characteristics