Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicity in root components via Geometric Satake   In this note we explicitly construct top-dimensional components of the cyclic
convolution varieties. These components correspond (via the geometric Satake
equivalence) to irreducible summands $V(\lambda+\mu-N\beta) \subset V(\lambda)
\otimes V(\mu)$ for $G^\vee=SL_{n+1}$, where $N\ge 1$ and $\beta$ is a positive
root. Furthermore, we deduce from these constructions a nontrivial lower bound
on the multiplicity of these subrepresentations when $\beta$ is not a simple
root. Finally, we demonstrate that not all such top-dimensional components can
be realized as closures of orbits.

10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph