Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solutions to the Quantum Yang-Baxter Equation with Extra Non-Additive
  Parameters   We present a systematic technique to construct solutions to the Yang-Baxter
equation which depend not only on a spectral parameter but in addition on
further continuous parameters. These extra parameters enter the Yang-Baxter
equation in a similar way to the spectral parameter but in a non-additive form.
We exploit the fact that quantum non-compact algebras such as $U_q(su(1,1))$
and type-I quantum superalgebras such as $U_q(gl(1|1))$ and $U_q(gl(2|1))$ are
known to admit non-trivial one-parameter families of infinite-dimensional and
finite dimensional irreps, respectively, even for generic $q$. We develop a
technique for constructing the corresponding spectral-dependent R-matrices. As
examples we work out the the $R$-matrices for the three quantum algebras
mentioned above in certain representations.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
18
The categories of this paper are: econ