Casimir Invariants from Quasi-Hopf (Super)algebras
Mark. D. Gould, Yao-Zhong Zhang, Phillip S. Isaac
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.
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