most citedAffine braids, Markov traces and the category O

13 citations · 48 across the 14 of their papers we have counts for

collaborators

14 papers

gr-qc20055 cited

The quantum black hole

Budh Ram, Arun Ram, Nilam Ram

The quantum nature of a black hole is revealed using the simplest terms that one learns in undergraduate and beginning graduate courses. The exposition demonstrates -- vividly -- t…

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…

math.RT20044 cited

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…

math.RT20049 cited

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…

math.RT2004

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…

math.RT20047 cited

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…