The Geometry of Jordan and Lie Structures

The Geometry of Jordan and Lie Structures [electronic resource] / edited by Wolfgang Bertram. - XVIII, 274 p. online resource. - Lecture Notes in Mathematics, 1754 0075-8434 ; . - Lecture Notes in Mathematics, 1754 .

The Jordan-Lie functor -- I: Symmetric spaces and the Lie-functor -- II: Prehomogeneous symmetric spaces and Jordan algebras -- III: The Jordan-Lie functor -- IV: The classical spaces -- V: Non-degenerate spaces -- Conformal group and global theory -- VI: Integration of Jordan structures -- VII: The conformal Lie algebra -- VIII: Conformal group and conformal completion -- IX: Liouville theorem and fundamental theorem -- X: Algebraic structures of symmetric spaces with twist -- XI: Spaces of the first and of the second kind -- XII: Tables -- XIII: Further topics.

9783540444589

10.1007/b76884 doi


Algebra.
Global differential geometry.
Topological Groups.
Algebra.
Differential Geometry.
Topological Groups, Lie Groups.

QA150-272

512
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