Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie algebras arising from Nichols algebras of diagonal type   Let ${\mathcal B}_{\mathfrak{q}}$ be a finite-dimensional Nichols algebra of
diagonal type with braiding matrix $\mathfrak{q}$, let
$\mathcal{L}_{\mathfrak{q}}$ be the corresponding Lusztig algebra as in
arXiv:1501.04518 and let $\operatorname{Fr}_{\mathfrak{q}}:
\mathcal{L}_{\mathfrak{q}} \to U(\mathfrak{n}^{\mathfrak{q}})$ be the
corresponding quantum Frobenius map as in arXiv:1603.09387. We prove that the
finite-dimensional Lie algebra $\mathfrak{n}^{\mathfrak{q}}$ is either 0 or
else the positive part of a semisimple Lie algebra
$\mathfrak{g}^{\mathfrak{q}}$ which is determined for each $\mathfrak{q}$ in
the list of arXiv:math/0605795.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics