Casimir Invariants from Quasi-Hopf (Super)algebras
Quantum Algebra
2009-10-31 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Representation Theory
Abstract
We show how to construct, starting from a quasi-Hopf (super)algebra, central elements or Casimir invariants. We show that these central elements are invariant under quasi-Hopf twistings. As a consequence, the elliptic quantum (super)groups, which arise from twisting the normal quantum (super)groups, have the same Casimir invariants as the corresponding quantum (super)groups.
Keywords
Cite
@article{arxiv.math/9811052,
title = {Casimir Invariants from Quasi-Hopf (Super)algebras},
author = {Mark. D. Gould and Yao-Zhong Zhang and Phillip S. Isaac},
journal= {arXiv preprint arXiv:math/9811052},
year = {2009}
}
Comments
24 pages, Latex file