Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral-parameter dependent Yang-Baxter operators and Yang-Baxter
  systems from algebra structures   For any algebra two families of coloured Yang-Baxter operators are
constructed, thus producing solutions to the two-parameter quantum Yang-Baxter
equation. An open problem about a system of functional equations is stated. The
matrix forms of these operators for two and three dimensional algebras are
computed. A FRT bialgebra for one of these families is presented. Solutions for
the one-parameter quantum Yang-Baxter equation are derived and a Yang-Baxter
system constructed.

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex