Graded Poisson Lie structures on classical complex Lie groups
β Scribed by G. E. Arutyunov
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 864 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
We characterize the existence of Lie group structures on quotient groups and the existence of universal complexifications for the class of Baker-Campbell-Hausdorff (BCH-) Lie groups, which subsumes all Banach-Lie groups and ''linear'' direct limit Lie groups, as well as the mapping groups C r K Γ°M;
A local classification of all Poisson-Lie structures on an infinite-dimensional group G~o of formal power series is given. All Lie bialgebra structures on the Lie algebra 9oo of G~ are also classified. Mathematics Subject Classifications (1991). 17B37, 17B66, 17B68.