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Descent monomials, \(P\)-partitions and dense Garsia-Haiman modules

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Publication:1768525
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DOI10.1023/B:JACO.0000047281.84115.b7zbMath1056.05145MaRDI QIDQ1768525

Edward E. Allen

Publication date: 15 March 2005

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)


zbMATH Keywords

\(P\)-partitionsGarsia-Haiman modulesdescent monomialsconvariant rings


Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)


Related Items (1)

Colored-descent representations of complex reflection groups \(G(r,p,n)\).



Cites Work

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  • Bitableaux bases for some Garsia-Haiman modules and other related modules
  • On the eigenvalues of representations of reflection groups and wreath products
  • Combinatorial methods in the theory of Cohen-Macaulay rings
  • Higher Specht polynomials for the complex reflection group \(G(r,p,n)\)
  • Some graded representations of the complex reflection groups
  • The descent monomials and a basis for the diagonally symmetric polynomials
  • Quotients of Coxeter complexes and 𝑃-partitions
  • A graded representation model for Macdonald's polynomials.


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