On a relation between certain character values of symmetric groups and its connection with creation operators of symmetric functions

2013/05/12 by Masaki Watanabe, Watanabe, Masaki
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1305.2568

openalex publication_date 2013/05/12 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we derive a relation of new kind between certain character values of symmetric groups in terms of so-called maya diagrams. We also investigate a relation between our result and Bernstein's creation operators for Schur functions, and consider analogous relations for projective characters of symmetric groups through creation operators for Schur Q-functions. We also consider analogous relations for characters of Brauer algebras and walled Brauer algebras.

Citations

• Tensor Product Representations of General Linear Groups and Their Connections with Brauer Algebras

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