Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Keys and Demazure crystals for Kac-Moody algebras   The Key map is an important tool in the determination of the Demazure
crystals associated to Kac-Moody algebras. In finite type A, it can be computed
in the tableau realization of crystals by a simple combinatorial procedure due
to Lascoux and Sch{\"u}tzenberger. We show that this procedure is a part of a
more general construction holding in the Kac-Moody case that we illustrate in
finite types and affine type A. In affine type A, we introduce higher level
generalizations of core partitions which notably give interesting analogues of
the Young lattice and are expected to parametrize distinguished elements of
certain remarkable blocks for Ariki-Koike algebras.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph