Some graded representations of the complex reflection groups

DOI10.1006/jcta.1999.2963zbMath0940.05068OpenAlexW2010619572MaRDI QIDQ1304627

Edward E. Allen

Publication date: 12 July 2000

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

Full work available at URL: https://doi.org/10.1006/jcta.1999.2963

zbMATH Keywords

tableauxalternantscomplex reflection groupscombinatorial representation theorybitableauxbiderminantsbipermanents

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Bitableau bases for Garsia-Haiman modules of hollow type, Descent monomials, \(P\)-partitions and dense Garsia-Haiman modules, Multiple left regular representations generated by alternants

Cites Work

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• On the eigenvalues of representations of reflection groups and wreath products
• Invariant theory, Young bitableaux, and combinatorics
• A conjecture of Procesi and a new basis for the decomposition of the graded left regular representation of \(S_ n\)
• New bases for the decomposition of the graded left regular representation of the reflection groups of type \(B_ n\) and \(D_ n\)
• The decomposition of a bigraded left regular representation of the diagonal action of \(S_ n\)
• Representation theory of a Hecke algebra of \(G(r,p,n)\)
• Some natural bigraded \(S_ n\)-modules and \(q,t\)-Kostka coefficients
• Invariants of finite groups and their applications to combinatorics
• A conjecture of Procesi and the straightening algorithm of Rota.
• Finite Unitary Reflection Groups