Abstract
One of the important reasons for studying Poisson manifolds is the potential usefulness of such manifolds in quantization via objects called Poisson-Lie groups, and, then, quantum groups [Dr1], [Dr2]. The latter are not really groups, but noncommutative algebras obtained by a deformation quantization (Chapter 6) of Poisson-Lie groups. From the purely geometric viewpoint it is also completely natural to define and study Poisson-Lie groups.
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© 1994 Springer Basel AG
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Vaisman, I. (1994). Poisson-Lie Groups. In: Lectures on the Geometry of Poisson Manifolds. Progress in Mathematics, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8495-2_11
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DOI: https://doi.org/10.1007/978-3-0348-8495-2_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9649-8
Online ISBN: 978-3-0348-8495-2
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