Lie superbialgebras and poisson-lie supergroups
Copyright policy )Lie superbialgebras and poisson-lie supergroups
The basic notions of Lie bialgebras, Manin triples and classical Yang- Baxter equations are generalized to the case of Lie superalgebras. A class of Poisson-Lie supergroups is introduced. A rigorous formulation for a problem of quantization of Poisson supermanifolds is given.
- Max Planck Institute for Mathematics Germany
- Max Planck Society Germany
quantization of Poisson supermanifolds, Geometric quantization, classical Yang-Baxter equations, Lie bialgebras, Infinite-dimensional Lie groups and their Lie algebras: general properties, Quantum groups (quantized enveloping algebras) and related deformations, Lie superalgebras, Manin triples, Poisson-Lie supergroups, Hopf algebras (associative rings and algebras)
quantization of Poisson supermanifolds, Geometric quantization, classical Yang-Baxter equations, Lie bialgebras, Infinite-dimensional Lie groups and their Lie algebras: general properties, Quantum groups (quantized enveloping algebras) and related deformations, Lie superalgebras, Manin triples, Poisson-Lie supergroups, Hopf algebras (associative rings and algebras)
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