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Generalized Poisson brackets and lie algebras of type H in characteristic 0

✍ Scribed by J. Marshall Osborn; Kaiming Zhao

Publisher
Springer-Verlag
Year
1999
Tongue
French
Weight
293 KB
Volume
230
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES

New Generalized Simple Lie Algebras of C
New Generalized Simple Lie Algebras of Cartan Type over a Field with Characteristic 0
✍ Xiaoping Xu πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 239 KB

We construct four new series of generalized simple Lie algebras of Cartan type, using the mixtures of grading operators and down-grading operators. Our results in this paper are further generalizations of those in Osborn's work (J. Algebra 185 (1996), 820-835).

A Characterization of the Block Lie Alge
A Characterization of the Block Lie Algebra and Itsq-Forms in Characteristic 0
✍ J.Marshall Osborn; Kaiming Zhao πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 394 KB

The Block algebra L referred to here is the Lie algebra over a field F of Γ„ Ε½ . Γ„Ε½ .44 characteristic 0 with basis e N r, s g Z = Z \_ 0, 0 and subject to the comr, s w x Ε½ . mutation relations e , e s rk y sh e . Let 0, 1 / q g F. The q-form h, k r, s h qr, kqs Ε½ . Γ„ Ε½ . Ε½ . Γ„Ε½ .44 L q of L is the