The decomposition of a bigraded left regular representation of the diagonal action of \(S_ n\)

DOI10.1016/0097-3165(95)90018-7zbMath0826.05057OpenAlexW2034240525MaRDI QIDQ1894013

Edward E. Allen

Publication date: 26 November 1995

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

Full work available at URL: https://doi.org/10.1016/0097-3165(95)90018-7

zbMATH Keywords

decompositionharmonic polynomialstableauxsymmetric groupirreducible representationsleft regular representationGarsia-Haiman modulesdiagonal actionbihomogeneous polynomialsbigraded characterbiletter cocharge tableauMacdonald-Kostka polynomials

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Integral representations of finite groups (20C10)

Related Items

Bitableaux bases for the diagonally invariant polynomial quotient rings, Some graded representations of the complex reflection groups

Cites Work

• Combinatorial aspects of skew representations of the symmetric group
• Invariant theory, Young bitableaux, and combinatorics
• A conjecture of Procesi and a new basis for the decomposition of the graded left regular representation of \(S_ n\)
• Some Particular Entries of the Two-Parameter Kostka Matrix
• A new class of symmetric functions