Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differentiating the Weyl generic dimension formula and support varieties
  for quantum groups   The authors compute the support varieties of all irreducible modules for the
small quantum group $u_\zeta(\mathfrak{g})$, where $\mathfrak{g}$ is a simple
complex Lie algebra, and $\zeta$ is a primitive $\ell$-th root of unity with
$\ell$ larger than the Coxeter number of $\mathfrak{g}$. The calculation
employs the prior calculations and techniques of Ostrik and of
Nakano--Parshall--Vella, as well as deep results involving the validity of the
Lusztig character formula for quantum groups and the positivity of parabolic
Kazhdan-Lusztig polynomials for the affine Weyl group. Analogous support
variety calculations are provided for the first Frobenius kernel $G_1$ of a
reductive algebraic group scheme $G$ defined over the prime field
$\mathbb{F}_p$.

13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex