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arXiv · hep-th/9208010

A Class of Bicovariant Differential Calculi on Hopf Algebras

Tomasz Brzezinski·Shahn Majid
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Abstract

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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Tomasz Brzezinski, Shahn Majid. 1992-08-03. A Class of Bicovariant Differential Calculi on Hopf Algebras. https://doi.org/10.1007/bf00420519

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