Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Quasi-Hopf superalgebras   In this work we investigate several important aspects of the structure theory
of the recently introduced quasi-Hopf superalgebras (QHSAs), which play a
fundamental role in knot theory and integrable systems. In particular we
introduce the opposite structure and prove in detail (for the graded case)
Drinfeld's result that the coproduct $\Delta ' \equiv (S\otimes S)\cdot T\cdot
\Delta \cdot S^{-1}$ induced on a QHSA is obtained from the coproduct $\Delta$
by twisting. The corresponding ``Drinfeld twist'' $F_D$ is explicitly
constructed, as well as its inverse, and we investigate the complete QHSA
associated with $\Delta'$. We give a universal proof that the coassociator
$\Phi'=(S\otimes S\otimes S)\Phi_{321}$ and canonical elements $\alpha' =
S(\beta),$ $\beta' = S(\alpha)$ correspond to twisting the original
coassociator $\Phi = \Phi_{123}$ and canonical elements $\alpha,\beta$ with the
Drinfeld twist $F_D$. Moreover in the quasi-triangular case, it is shown
algebraically that the R-matrix $R' = (S\otimes S)R$ corresponds to twisting
the original R-matrix $R$ with $F_D$. This has important consequences in knot
theory, which will be investigated elsewhere.

36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an