Lectures on Integrability of Lie Brackets
Rui Loja Fernandes, Marius Crainic
TL;DR
This paper provides lecture notes on the integrability of Lie brackets, offering foundational insights into Poisson geometry and Lie algebra structures for advanced mathematical study.
Contribution
It compiles comprehensive educational material on Lie bracket integrability, enhancing understanding for researchers and students in differential geometry.
Findings
Clarifies conditions for Lie bracket integrability
Provides examples illustrating theoretical concepts
Summarizes key results in Poisson geometry
Abstract
This is a set of lecture notes for a course given at the 2005 Summer School in Poisson Geometry held at ICTP-Trieste.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models