Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Donkin's Tilting Module Conjecture I: Lowering the Prime   In this paper the authors provide a complete answer to Donkin's Tilting
Module Conjecture for all rank $2$ semisimple algebraic groups and
$\text{SL}_{4}(k)$ where $k$ is an algebraically closed field of characteristic
$p>0$. In the process, new techniques are introduced involving the existence of
$(p,r)$-filtrations, Lusztig's character formula, and the $G_{r}$T-radical
series for baby Verma modules.

12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an