Casimir Invariants from Quasi-Hopf (Super)algebras

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.

24 pages, Latex file

References in corpus (2)

• Quasi-Hopf Superalgebras and Elliptic Quantum Supergroups
• Universal Solutions of Quantum Dynamical Yang-Baxter Equations

Cited by in corpus (2)

• Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras
• Some Twisted Results