Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-row $W$-graphs in affine type $A$   For affine symmetric groups we construct finite $W$-graphs corresponding to
two-row shapes, and prove their uniqueness. This gives the first non-trivial
family of examples of finite $W$-graphs in an affine type. We compare our
construction with quotients of periodic $W$-graphs defined by Lusztig. Under
certain positivity assumption on the latter the two are shown to be isomorphic.

17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn