Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Affine Weyl groups in K-theory and representation theory   We give an explicit combinatorial Chevalley-type formula for the equivariant
K-theory of generalized flag varieties G/P which is a direct generalization of
the classical Chevalley formula. Our formula implies a simple combinatorial
model for the characters of the irreducible representations of G and, more
generally, for the Demazure characters. This model can be viewed as a discrete
counterpart of the Littelmann path model, and has several advantages. Our
construction is given in terms of a certain R-matrix, that is, a collection of
operators satisfying the Yang-Baxter equation. It reduces to combinatorics of
decompositions in the affine Weyl group and enumeration of saturated chains in
the Bruhat order on the (nonaffine) Weyl group. Our model easily implies
several symmetries of the coefficients in the Chevalley-type formula. We also
derive a simple formula for multiplying an arbitrary Schubert class by a
divisor class, as well as a dual Chevalley-type formula. The paper contains
other applications and examples.

4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas