Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Actions of the face monoid associated to a Kac-Moody group on its
  building   We described in [M1] a monoid acting on the integrable highest weight modules
of a symmetrizable Kac-Moody algebra. It has similar structural properties as a
reductive algebraic monoid with unit group a Kac-Moody group. Now we find
natural extensions of the action of the Kac-Moody group on its building to
actions of this monoid. These extensions are partly motivated by representation
theory and the combinatorics of the faces of the Tits cone.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org