A descent basis for the Garsia-Procesi module
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Publication:6633114
DOI10.1016/J.AIM.2024.109945MaRDI QIDQ6633114
Publication date: 5 November 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Combinatorial aspects of algebraic geometry (05E14)
Cites Work
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- Defining ideals of the closures of the conjugacy classes and representations of the Weyl groups
- Symmetric functions, conjugacy classes and the flag variety
- On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
- Trigonometric sums, Green functions of finite groups and representations of Weyl groups
- A construction of representations of Weyl groups
- A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
- Explicit plethystic formulas for Macdonald \((q,t)\)-Kostka coefficients
- The descent monomials and a basis for the diagonally symmetric polynomials
- Vanishing theorems and character formulas for the Hilbert scheme of points in the plane
- The indices of permutations and the derivation therefrom of functions of a single associated with the permutations of any assemblage of objects.
- Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions
- A combinatorial formula for the character of the diagonal coinvariants
- Group actions on Stanley-Reisner rings and invariants of permutation groups
- Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
- Hilbert schemes, polygraphs and the Macdonald positivity conjecture
- A compositional shuffle conjecture specifying touch points of the Dyck path
- A kicking basis for the two-column Garsia-Haiman modules
- A proof of the shuffle conjecture
- A combinatorial formula for Macdonald polynomials
- A graded representation model for Macdonald's polynomials.
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