A construction for coisotropic subalgebras of Lie bialgebras

Abstract

Given a Lie bialgebra (g,g*), we present an explicit procedure to construct coisotropic subalgebras, i.e. Lie subalgebras of g whose annihilator is a Lie subalgebra of g*. We write down families of examples for the case that g is a classical complex simple Lie algebra.

arXiv comment12 pages. New, shorter proof for Prop. 2.3. New Remark 4.1. Some material moved to appendix. Final version

References in corpus (1)

• Pre-Poisson submanifolds

Cited by in corpus (2)

• Integrable deformation of ${\mathbb{CP}}^n$ and generalised Kaehler geometry
• Quantization of coisotropic subalgebras in complex semisimple Lie Algebras