The Littlewood-Richardson rule for wreath products with symmetric groups and the quiver of the categoryF≀FIn

DOI10.1080/00927872.2016.1226880zbMath1395.20008arXiv1512.02170OpenAlexW2963640369MaRDI QIDQ5274714

Itamar Stein

Publication date: 6 July 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02170

zbMATH Keywords

finite groupssymmetric groupLittlewood-Richardson rulewreath productcategory algebrasEI-categoriesordinary quiverordinary representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Representations of quivers and partially ordered sets (16G20) Extensions, wreath products, and other compositions of groups (20E22) Representations of associative Artinian rings (16G10)

Related Items (4)

Polynomial relations between operators on chains of representation rings ⋮ On the Dowling and Rhodes lattices and wreath products ⋮ Restriction of characters to subgroups of wreath products and basic sets for the symmetric group ⋮ Gelfand Pairs Involving the Wreath Product of Finite Abelian Groups with Symmetric Groups

Cites Work

• Upper bounds of homological invariants of \({FI_G}\)-modules
• A characterization of finite EI categories with hereditary category algebras
• An introduction to homological algebra
• FI-modules and stability for representations of symmetric groups
• Quivers of monoids with basic algebras
• A Survey of Multipartitions Congruences and Identities
• Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

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