On the representation theory of wreath products of finite groups and symmetric groups

DOI10.1007/BF02175835zbMath0959.20015MaRDI QIDQ1966353

I. A. Pushkarev

Publication date: 7 March 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsfinite groupswreath productsYoung's orthogonal formbranching theorem

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30)

Related Items (11)

Cuspidal Calogero-Moser and Lusztig families for Coxeter groups ⋮ Fusion procedure for Coxeter groups of type 𝐵 and complex reflection groups 𝐺(𝑚,1,𝑛) ⋮ The Okounkov-Vershik approach to the representation theory of \(G\sim S_n\) ⋮ An inductive approach to representations of complex reflection groups \(G(m,1,n)\). ⋮ Stable centres of wreath products ⋮ Blocks of restricted rational Cherednik algebras for \(G(m,d,n)\). ⋮ On representation theory of partition algebras for complex reflection groups ⋮ Wreath Hecke algebras and centralizer construction for wreath products. ⋮ Fusion procedure for wreath products of finite groups by the symmetric group. ⋮ Cylindric symmetric functions and positivity ⋮ Strong Gelfand subgroups of F ≀ Sn

Cites Work

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• A new approach to representation theory of symmetric groups
• A new construction of Young's seminormal representation of the symmetric groups
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Symmetric polynomials and the center of the symmetric group ring

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