Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal central extensions of linear groups over rings of
  non-commutative Laurent polynomials, associated $K_1$-groups and $K_2$-groups   We prove that linear groups over rings of non-commutative Laurent polynomials
$D_{\tau}$ have Tits systems with the corresponding affine Weyl groups and have
universal central extensions if $|Z(D)|\geq 5$ and $|Z(D)|\neq 9$. We also
determine structures of $K_1$-groups and identify generators of $K_2$-groups.

23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con