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math.RT2007★ 12 cited
Orthogonal functions generalizing Jack polynomials
Stephen Griffeth
The rational Cherednik algebra $\HH$ is a certain algebra of differential-reflection operators attached to a complex reflection group . Each irreducible representation of…
math.RT2006
Towards a combinatorial representation theory for the rational Cherednik algebra of type G(r,p,n)
Stephen Griffeth
The goal of this paper is to lay the foundations for a combinatorial study, via orthogonal functions and intertwining operators, of category O for the rational Cherednik algebra of…
math.RT2004
Affine Hecke algebras and the Schubert calculus
Stephen Griffeth, Arun Ram
Using a combinatorial approach which avoids geometry, this paper studies the ring structure of K_T(G/B), the T-equivariant K-theory of the (generalized) flag variety G/B. Here the…