Quantum groups and dynamical systems
β Scribed by P.P. Kulish
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 404 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0083-6656
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π SIMILAR VOLUMES
The paper deals with spectral properties of abelian dynamical semigroups on von Neumann algebras. The notions of an eigenvalue and eigenspace for such semigroups are defined, generalizing those known for the classical case, and the existence of normal projections on the eigenspaces is proved. A more
Following a preceding paper of Tarasov and the second author, we define and study a new structure, which may be regarded as the dynamical analog of the Weyl group for Lie algebras and of the quantum Weyl group for quantized enveloping algebras. We give some applications of this new structure.
We construct a functor from a certain category of quantum semigroups to a Ε½ Ε½ .. category of quantum groups, which, for example, assigns Fun Mat N to q Ε½ Ε½ .. Ε½ . Fun GL N . Combining with a generalization of the Faddeevα q ReshetikhinαTakhtadzhyan construction, we obtain quantum groups with univers