64 citations · 295 across the 51 of their papers we have counts for
14 papers · 1 filter
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…
Affine Hecke algebras, cyclotomic Hecke algebras and Clifford theory
Arun Ram, Jacqui Ramagge
We show that the Young tableaux theory and constructions of the irreducible representations of the Weyl groups of type A, B and D, Iwahori-Hecke algebras of types A, B, and D, the…
Affine Hecke algebras and generalized standard Young tableaux
Arun Ram
This paper introduces calibrated representations for affine Hecke algebras and classifies and constructs all finite dimensional irreducible calibrated representations. The primary…
Representations of rank two affine Hecke algebras
Arun Ram
This paper classifies and constructs explicitly all the irreducible representations of affine Hecke algebras of rank two root systems. The methods used to obtain this classificatio…
Affine braids, Markov traces and the category O
Rosa Orellana, Arun Ram
This paper provides a unified approach to results on representations of affine Hecke algebras, cyclotomic Hecke algebras, affine BMW algebras, cyclotomic BMW algebras, Markov trace…
Partition Algebras
Tom Halverson, Arun Ram
The partition algebras are algebras of diagrams (which contain the group algebra of the symmetric group and the Brauer algebra) such that the multiplication is given by a combinato…
q-rook monoid algebras, Hecke algebras and Schur-Weyl duality
Tom Halverson, Arun Ram
q-rook monoid algebras, Hecke algebras and Schur-Weyl duality
Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques
Persi Diaconis, Arun Ram
Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques
Kostka-Foulkes polynomials and Macdonald spherical functions
Kendra Nelsen, Arun Ram
Generalized Hall-Littlewood polynomials (Macdonald spherical functions) and generalized Kostka-Foulkes polynomials (-weight multiplicities) arise in many places in combinatorics…