Quantum and braided diffeomorphism groups

S. Majid

doi:10.1016/S0393-0440(98)00016-3

Quantum and braided diffeomorphism groups

量子代数 2009-10-31 v1

作者: S. Majid

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摘要

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.

关键词

quantum groups braid groups quantum group representations

引用

@article{arxiv.math/9801020,
  title  = {Quantum and braided diffeomorphism groups},
  author = {S. Majid},
  journal= {arXiv preprint arXiv:math/9801020},
  year   = {2009}
}

备注

36 pages latex with epsf (two figures, not critical)

Quantum and braided diffeomorphism groups

摘要

关键词

引用

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