The coinvariant algebra of the symmetric group as a direct sum of induced modules.

zbMath1080.20012MaRDI QIDQ1775265

Tatsuhiro Nakajima, Hideaki Morita

Publication date: 6 May 2005

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsinduced representationscoinvariant algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (6)

Decomposition of Green polynomials of type \(A\) and Springer modules for hooks and rectangles. ⋮ A variant of the induction theorem for Springer representations. ⋮ Green polynomials at roots of unity and Springer modules for the symmetric groups ⋮ Garsia-Haiman modules for hook partitions and Green polynomials with two variables ⋮ Tabloids and weighted sums of characters of certain modules of the symmetric groups ⋮ A formula of Lascoux-Leclerc-Thibon and representations of symmetric groups

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