Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alcove paths and Gelfand-Tsetlin patterns   In their study of the equivariant K-theory of the generalized flag varieties
$G/P$, where $G$ is a complex semisimple Lie group, and $P$ is a parabolic
subgroup of $G$, Lenart and Postnikov introduced a combinatorial tool, called
the alcove paths model. It provides a model for the highest weight crystals
with dominant integral highest weights, generalizing the model by semistandard
Young tableaux. In this paper, we prove a simple and explicit formula
describing the crystal isomorphism between the alcove paths model and the
Gelfand-Tsetlin patterns model for type $A$.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys