64 citations · 295 across the 51 of their papers we have counts for
14 papers · 2 filters
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…
A Pieri-Chevalley formula for K(G/B)
Harsh Pittie, Arun Ram
The ring K(G/B) is isomorphic to a quotient of a Laurent polynomial ring by an ideal generated by certain W-symmetric functions and has a basis given by classes O_w, where O_w is t…
A Pieri-Chevalley formula in the K-theory of a G/B-bundle
Harsh Pittie, Arun Ram
The main result of this announcement is a formula for the tensor product of the class of a homogeneous line bundle with a Schubert class, expressed as a K(X)-linear combination of…
Skew shape representations are irreducible
Arun Ram
In this paper all of the classical constructions of A. Young are generalized to affine Hecke algebras of type A. It is proved that the calibrated irreducible representations of the…
Standard Young tableaux for finite root systems
Arun Ram
The study of representations of affine Hecke algebras has led to a new notion of shapes and standard Young tableaux which works for the root system of any finite Coxeter group. Thi…
Calibrated representations of affine Hecke algebras
Arun Ram
This paper introduces the notion of calibrated representations for affine Hecke algebras and classifies and constructs all finite dimensional irreducible calibrated representations…