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Nonstandardq-deformation of the Euclidean Lie algebra and its representations

✍ Scribed by A. U. Klimyk


Book ID
110409984
Publisher
Springer
Year
1998
Tongue
English
Weight
290 KB
Volume
48
Category
Article
ISSN
0011-4626

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πŸ“œ SIMILAR VOLUMES


Representations of theq-Deformed Lie Alg
✍ Sergei D Silvestrov; Lyudmila B Turowska πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 467 KB

Bounded an unbounded Hilbert space V -Representations of the q-deformed Lie algebra of the group of plan motions are studied for different choices of involutions. Integrable (``well-behaved'') representations of the corresponding V -algebras are defined and described up to unitary equivalence. In th

Generalized Restricted Lie Algebras and
✍ Bin Shu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 309 KB

Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra Ε½ . over F, and P L the primitive p-envelope of L. A close relation between Ε½ . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with