Casimir Invariants from Quasi-Hopf (Super)algebras

Details Casimir Invariants from Quasi-Hopf (Super)algebras Casimir Invariants from Quasi-Hopf (Super)algebras

1998-11-09

arxiv.org/abs/math/9811052v1

J.Math.Phys. 41 (2000) 547-568

Mathematics

Quantum Algebra

24 pages, Latex file

Scientific paper

10.1063/1.533151

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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