Quantum and braided diffeomorphism groups
Quantum Algebra
2009-10-31 v1
Abstract
We develop a general theory of `quantum' diffeomorphism groups based on the universal comeasuring quantum group associated to an algebra 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 -diffeomorphisms of the quantum plane , and recover the quantum matrices as those respecting its braided group addition law.
Cite
@article{arxiv.math/9801020,
title = {Quantum and braided diffeomorphism groups},
author = {S. Majid},
journal= {arXiv preprint arXiv:math/9801020},
year = {2009}
}
Comments
36 pages latex with epsf (two figures, not critical)