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Classical r-matrices and quantization

✍ Scribed by M. A. Semenov-Tyan-Shanskii


Publisher
Springer US
Year
1985
Tongue
English
Weight
292 KB
Volume
31
Category
Article
ISSN
1573-8795

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✍ Ping Xu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 329 KB

We study some general aspects of triangular dynamical r-matrices using Poisson geometry. We show that a triangular dynamical r-matrix r: h g 0 M 2 g always gives rise to a regular Poisson manifold. Using the Fedosov method, we prove that nondegenerate triangular dynamical r-matrices (i.e., those suc

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✍ Hans Plesner Jakobsen; SΓΈren JΓΈndrup πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 424 KB

First some old as well as new results about P.I. algebras, Ore extensions, and degrees are presented. Then quantized n = r matrices as well as certain quantized rq 1 Ε½ . Ε½ . rq 1 Ε½ . factor algebras M n of M n are analyzed. For r s 1, . . . , n y 1, M n is q q q the quantized function algebra of ran