Induction and restriction of Kazhdan-Lusztig cells

DOI10.1006/aima.1997.1712zbMath0909.20028OpenAlexW2040084910MaRDI QIDQ1265473

Yuval Roichman

Publication date: 7 April 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1712

zbMATH Keywords

Weyl groupssymmetric groupsCoxeter groupstensor productsLittlewood-Richardson ruleMurnaghan-Nakayama rulerestrictionsrecursion theoremKazhdan-Lusztig representationsinductionsKazhdan-Lusztig charactersouter products of representations

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

Unnamed Item, Standard multipartitions and a combinatorial affine Schur-Weyl duality, Minimal determining sets for certain $W$-graph ideals, On embedding certain Kazhdan-Lusztig cells of \(S_n\) into cells of \(S_{n+1}\), Cyclage, catabolism, and the affine Hecke algebra., \(W\)-graph versions of tensoring with the \(\mathcal S_n\) defining representation., The ABC of \(p\)-cells, Schur-positive sets of permutations via products and grid classes, Quantum Schur-Weyl duality and projected canonical bases., Kazhdan-Lusztig representations and Whittaker space of some genuine representations, Unnamed Item, Shape avoiding permutations

Cites Work

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