Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: q-Deformed Anisotropic Superexchange Interaction, Frustration and
  GL_{pq}(2)   We study a suitable q-deformed version of the Moriya's superexchange
interaction theory by means of its underlying quantum group structure. We show
that the one-dimensional chain case is associated with the non-standard quantum
group $GL_{pq}(2) $, evidencing the integrability structure of the system. This
biparametric deformation of $GL(2,{\bf C}) $ arise as a twisting of $GL_{q}(2)
$ and it match exactly the local rotation appearing in the Shekhtman's work
\cite{Sh}. This allow us to express the frustration condition in terms of this
twisting, also showing that effect of the Moriya's vector amounts to a twisting
of the boundary condition.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph