Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A method of integration for classical and quantum equations based on the
  connection between canonical transformations and irreducible representations
  of Lie groups   We propose a method for integrating the right-invariant geodesic flows on Lie
groups based on the use of a special canonical transformation in the cotangent
bundle of the group. We also describe an original method of constructing exact
solutions for the Klein - Gordon equation on unimodular Lie groups. Finally, we
formulate a theorem which establishes a connection between the special
canonical transformation and irreducible representations of Lie group. This
connection allows us to consider the proposed methods of integrating for
classical and quantum equations in the framework of a unified approach.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con