Wreath products by the symmetric groups and product posets of Young's lattices

DOI10.1016/0097-3165(90)90044-WzbMath0707.05062MaRDI QIDQ918997

Soichi Okada

Publication date: 1990

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

partitionssymmetric groupswreath productsYoung lattice

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Representations of finite symmetric groups (20C30) Combinatorics of partially ordered sets (06A07)

Related Items (16)

Differential posets and Smith normal forms ⋮ Differential posets, Cayley graphs, and critical groups ⋮ Two-sided cells in type \(B\) (asymptotic case). ⋮ The Okounkov-Vershik approach to the representation theory of \(G\sim S_n\) ⋮ Left cells in type 𝐵_{𝑛} with unequal parameters ⋮ On Wohlfahrt series and wreath products. ⋮ Character restrictions and reflection groups ⋮ Kazhdan-Lusztig cells and Robinson-Schensted correspondence. ⋮ A relation for domino Robinson-Schensted algorithms ⋮ Dual graded graphs and Bratteli diagrams of towers of groups ⋮ Equivalence classes in the Weyl groups of type \(B_n\). ⋮ Generating functions for permutation representations. ⋮ A Solomon descent theory for the wreath products $G\wr\mathfrak S_n$ ⋮ Differential posets and restriction in critical groups ⋮ The Number of Homomorphisms from a Finite Abelian Group to a Symmetric Group (II) ⋮ 2-adic properties for the numbers of involutions in the alternating groups

Cites Work

• Unnamed Item
• Polynomial functors and wreath products
• Some aspects of groups acting on finite posets
• Representations of permutation groups. Part I
• Differential Posets

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