: Lie groups are differentiable manifolds that also possess a group structure, meaning their multiplication and inversion operations are smooth. A Complex Lie Group specifically requires these operations to be holomorphic.
: A central class of complex manifolds that possess a specialized metric (a "Kähler metric") allowing for the use of powerful tools like Hodge theory and Lefschetz theorems. Key Intersections and Applications Go to product viewer dialog for this item. Complex Geometry and Lie Theory
: These are spaces that locally look like complex : Lie groups are differentiable manifolds that also
Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists and Geometry: An Introduction for Physicists