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Quantum and braided diffeomorphism groups

S. Majid
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Abstract

We develop a general theory of `quantum' diffeomorphism groups based on the universal comeasuring quantum group $M(A)$ associated to an algebra $A$ and its various quotients. Explicit formulae are introduced for this construction, as well as dual quasitriangular and braided R-matrix versions. Among the examples, we construct the $q$-diffeomorphisms of the quantum plane $yx=qxy$, and recover the quantum matrices $M_q(2)$ as those respecting its braided group addition law.

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BibTeXRIS

S. Majid. 1998-01-07. Quantum and braided diffeomorphism groups. https://doi.org/10.1016/s0393-0440(98)00016-3

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