Developments and Trends in Infinite-Dimensional Lie Theory

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Neeb, Karl-Hermann (Επιμελητής έκδοσης), Pianzola, Arturo (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2011.
• Σειρά: Progress in Mathematics ; 288
• Θέματα: Mathematics.; Algebra.; Algebraic geometry.; Group theory.; Topological groups.; Lie groups.; Geometry.; Topological Groups, Lie Groups.; Group Theory and Generalizations.; Algebraic Geometry.

This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional...

Πίνακας περιεχομένων:

• Preface
• Part A: Infinite-Dimensional Lie (Super-)Algebras
• Isotopy for Extended Affine Lie Algebras and Lie Tori
• Remarks on the Isotriviality of Multiloop Algebras
• Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey
• Tensor Representations of Classical Locally Finite Lie Algebras
• Lie Algebras, Vertex Algebras, and Automorphic Forms
• Kac–Moody Superalgebras and Integrability
• Part B: Geometry of Infinite-Dimensional Lie (Transformation) Groups
• Jordan Structures and Non-Associative Geometry
• Direct Limits of Infinite-Dimensional Lie Groups
• Lie Groups of Bundle Automorphisms and Their Extensions
• Gerbes and Lie Groups
• Part C: Representation Theory of Infinite-Dimensional Lie Groups Functional Analytic Background for a Theory of Infinite- Dimensional Reductive Lie Groups
• Heat Kernel Measures and Critical Limits
• Coadjoint Orbits and the Beginnings of a Geometric Representation Theory
• Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces
• Index.