Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitary Representations of Quantum Lorentz Group and Quantum
  Relativistic Toda Chain   The aim of this paper is to give a group theoretical interpretation of the
three types of Bessel-Jackson functions. We consider a family of quantum
Lorentz groups and a family of quantum Lobachevsky spaces. For three members of
quantum Lobachevsky spaces the Casimir operators give rise to the two-body
relativistic open Toda lattice Hamiltonians. Their eigen-functions are the
modified Bessel-Jackson functions of three types. We construct the principal
series of unitary irreducible representations of the quantum Lorentz groups.
Special matrix elements in the irreducible spaces are the
Bessel-Macdonald-Jackson functions. They are the wave functions of the two-body
relativistic open Toda lattice. We obtain integral representations for these
functions.

23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio