A class of bicovariant differential calculi on Hopf algebras
نویسنده
چکیده
We introduce a large class of bicovariant differential calculi on any quantum group A, associated to Ad-invariant elements. For example, the deformed trace element on SLq(2) recovers Woronowicz’ 4D± calculus. More generally, we obtain a sequence of differential calculi on each quantum group A(R), based on the theory of the corresponding braided groups B(R). Here R is any regular solution of the QYBE.
منابع مشابه
Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras
Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras. Abstract We show that if g Γ is the quantum tangent space (or quantum Lie algebra in the sense of Woronowicz) of a bicovariant first order differential calculus over a co-quasitriangular Hopf algebra (A, r), then a certain extension of it is a braided Lie algebra in the category of A-comodules. This...
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