Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum superalgebras at roots of unity and non-abelian symmetries of
  integrable models   We consider integrable vertex models whose Boltzmann weights (R-matrices) are
trigonometric solutions to the graded Yang-Baxter equation. As is well known
the latter can be generically constructed from quantum affine superalgebras
$U_{q}(\hat g)$. These algebras do not form a symmetry algebra of the model for
generic values of the deformation parameter $q$ when periodic boundary
conditions are imposed. If $q$ is evaluated at a root of unity we demonstrate
that in certain commensurate sectors one can construct non-abelian subalgebras
which are translation invariant and supercommute with the transfer matrix and
therefore with all charges of the model. In the line of argument we introduce
the restricted quantum superalgebra $U^{res}_q(\hat g)$ and investigate its
root of unity limit. We prove several new formulas involving supercommutators
of arbitrary powers of the Chevalley-Serre generators and derive higher order
quantum Serre relations as well as an analogue of Lustzig's quantum Frobenius
theorem for superalgebras.

30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas