A Class of Bicovariant Differential Calculi on Hopf Algebras

Details A Class of Bicovariant Differential Calculi on Hopf Algebras A Class of Bicovariant Differential Calculi on Hopf Algebras

1992-08-03

arxiv.org/abs/hep-th/9208010v1

Lett.Math.Phys. 26 (1992) 67-78

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1007/BF00420519

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 $SL_q(2)$ recovers Woronowicz' $4D_\pm$ 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.

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