Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The blocks and weights of finite special linear and unitary groups   This paper has two main parts. Firstly, we give a classification of the
$\ell$-blocks of finite special linear and unitary groups $SL_n(\epsilon q)$ in
the non-defining characteristic $\ell\ge 3$. Secondly, we describe how the
$\ell$-weights of $SL_n(\epsilon q)$ can be obtained from the $\ell$-weights of
$GL_n(\epsilon q)$ when $\ell\nmid\mathrm{gcd}(n,q-\epsilon)$, and verify the
Alperin weight conjecture for $SL_n(\epsilon q)$ under the condition
$\ell\nmid\mathrm{gcd}(n,q-\epsilon)$. As a step to establish the Alperin
weight conjecture for all finite groups, we prove the inductive blockwise
Alperin weight condition for any unipotent $\ell$-block of $SL_n(\epsilon q)$
if $\ell\nmid\mathrm{gcd}(n,q-\epsilon)$.

10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th