Kähler Spaces, Nilpotent Orbits, and Singular Reduction.
Huebschmann, Johannes.
Kähler Spaces, Nilpotent Orbits, and Singular Reduction. - 1st ed. - 1 online resource (110 pages) - Memoirs of the American Mathematical Society ; v.172 . - Memoirs of the American Mathematical Society .
Intro -- Table of contents -- Introduction -- 1. Poisson algebras and Lie-Rinehart algebras -- 2. Stratified polarized spaces -- 3. The closure of a holomorphic nilpotent orbit -- 4. Reduction and stratified Kähler spaces -- 5. Associated representations and singular reduction -- 6. Associated representations for the remaining classical case -- 7. Hermitian Jordan triple systems and pre-homogeneous spaces -- 8. The exceptional cases -- 9. Contraction of semisimple holomorphic orbits -- 10. Projectivization and exotic projective varieties -- 11. Comparison with other notions of Kähler space with singularities -- References.
9781470404154
Poisson manifolds.
Poisson algebras.
Symplectic geometry.
Linear algebraic groups.
Electronic books.
QA614.3 -- .H843 2004eb
516.362
Kähler Spaces, Nilpotent Orbits, and Singular Reduction. - 1st ed. - 1 online resource (110 pages) - Memoirs of the American Mathematical Society ; v.172 . - Memoirs of the American Mathematical Society .
Intro -- Table of contents -- Introduction -- 1. Poisson algebras and Lie-Rinehart algebras -- 2. Stratified polarized spaces -- 3. The closure of a holomorphic nilpotent orbit -- 4. Reduction and stratified Kähler spaces -- 5. Associated representations and singular reduction -- 6. Associated representations for the remaining classical case -- 7. Hermitian Jordan triple systems and pre-homogeneous spaces -- 8. The exceptional cases -- 9. Contraction of semisimple holomorphic orbits -- 10. Projectivization and exotic projective varieties -- 11. Comparison with other notions of Kähler space with singularities -- References.
9781470404154
Poisson manifolds.
Poisson algebras.
Symplectic geometry.
Linear algebraic groups.
Electronic books.
QA614.3 -- .H843 2004eb
516.362