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Implications of the Hopf algebra properties of noncommutative differential calculi

A. A. Vladimirov
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Abstract

We define a noncommutative algebra of four basic objects within a differential calculus on quantum groups: functions, 1-forms, Lie derivatives and inner derivations, as the cross-product algebra associated with Woronowicz's (differential) algebra of functions and forms. This definition properly takes into account the Hopf algebra structure of the Woronowicz calculus. It also provides a direct proof of the Cartan identity.

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BibTeXRIS

A. A. Vladimirov. 1996-09-05. Implications of the Hopf algebra properties of noncommutative differential calculi. https://doi.org/10.1023/a%3A1021412632436

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