Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Borel subalgebras of Cartan Type Lie Algebras   Let $ W(n) $ be Jacobson-Witt algebra over algebraic closed field $
\mathbb{K} $ with positive characteristic $ p>2. $ It is difficult to classify
all Borel subalgebras of $ W(n) $ or non-classical restricted simple Lie
algebras. The present paper and \cite{S7} study two kinds of subalgebras which
are easily to understand and highly related to Borel subalgebras.
  In \cite{S7}, the last author investigates a class of special Borel
subalgebras of $W(n)$ which is called homogeneous Borel subalgebras. The
present paper focuses on subalgebras of $ W(n) $ which are related to Borel
subalgebras such that firstly, they could be trigonalizable; and secondly, they
essentially belong to the ones investigated in \cite{S7}. In this paper, the
conjugation classes of these subalgebras and representative for each class will
be determined. Then some properties such as filtration and dimension will be
investigated.

37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat