A character relationship between symmetric group and hyperoctahedral group

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:179

Article

Luebeck, Frank¹  Prasad, Dipendra^2,3 

[1] Lehrstuhl D Math, Pontdriesch 14-16, D-52062 Aachen, Germany

[2] Indian Inst Technol, Mumbai 400076, Maharashtra, India

[3] St Petersburg State Univ, St Petersburg, Russia

关键词: Symmetric group;    Hyperoctahedral group;    Representation theory;    Character theory;    Shintani character identity;    Schur-Weyl duality;    Partitions;    Conjugacy classes;    Factorization of characters;   

DOI  :  10.1016/j.jcta.2020.105368

来源: Elsevier

【 摘 要 】

We relate the character theory of the symmetric groups S-2n and S2n+1 with that of the hyperoctahedral group B-n = (Z/2)(n) x S-n, as part of the expectation that the character theory of reductive groups with diagram automorphism and their Weyl groups, is related to the character theory of the fixed subgroup of the diagram automorphism. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free