Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cox rings of moduli of quasi parabolic principal bundles and the K-Pieri
  rule   We study a toric degeneration of the Cox ring of the moduli of principal
$SL_m(\mathbb{C})$ bundles on the projective line, with quasi parabolic data
given by the the stabilizer of the highest weight vector in $\mathbb{C}^m$ and
its dual $\bigwedge^{m-1}(\mathbb{C}^m)$. The affine semigroup algebra
resulting from this degeneration is described using the $K-$Pieri rule from
Kac-Moody representation theory. Along the way we give a proof of the $K-$Pieri
rule which utilizes the classical Pieri rule and elements of commutative
algebra, and we describe a relationship between the Cox ring and a classical
invariant ring studied by Weyl.

11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph