Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphism group and ad-invariant metric on all six dimensional
  solvable real Lie algebras   Using adjoint representation of Lie algebras, we calculate the automorphism
group and ad-invariant metric on six dimensional solvable real Lie algebras
with 5, 4 and 3 dimensional nilradicals.

20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph