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Research and Exposition in Mathematics -- Volume 25

   Enlarged Picture

I. Bajo, E. Sanmartin (eds.)

Recent Advances in Lie Theory

406 p., soft cover, ISBN 3-88538-225-3, EUR 44.00, 2002

Lie Theory is known to play a crucial role in many fields of Mathematics and Physics. Apart from their obvious geometric and algebraic importance, Lie groups and Lie algebras have turned out to be of fundamental significance in Differential Equations, Quantum Mechanics, Algebraic Geometry, Topology and the Theory of Special Functions. The aim of this book is to provide the reader with a general view of recent research directions, represented in 23 articles, in most of these topics.


Preface vii

D. V. Alekseevsky, A. F. Spiro
Flag Manifolds and Homogeneous CR Structures
3--44 [Abstract]

Yu. A. Brailov, A. T. Fomenko
Lie Groups and Integrable Hamiltonian Systems
45--76 [Abstract]

M. Scheunert
Introduction to the Cohomology of Lie Superalgebras and some Applications
77--108 [Abstract]

V. A. Artamonov
Automorphisms and Derivations of Quantum Polynomials
109--120 [Abstract]

I. V. Arzhantsev
Invariant Subalgebras and Affine Embeddings of Homogeneous Spaces
121--126 [Abstract]

A. Baklouti, H. Fujiwara
Harmonic Analysis on some Exponential Solvable Homogeneous Spaces
127--134 [Abstract]

S. Benayadi
Inductive Classification of Quadratic Lie Superalgebras
135--148 [Abstract]

M. Bordemann, A. Medina
Le Groupe des Transformations Affines d'un Groupe de Lie a Structure Affine Bi-Invariante
149--180 [Abstract]

J. F. Carinena, A. Ramos
Lie-Scheffers Systems in Physics
181--188 [Abstract]

J. M. Casas, A. M. Viaites
Central Extensions of Perfect Leibniz Algebras
189--196 [Abstract]

G. Gaeta, N. Rodriguez Quintero
Lie Symmetries of Stochastic Differential Equations
197--204 [Abstract]

H. Glöckner, J. Winkelmann
A Property of Locally Compact Groups
205--210 [Abstract]

D. Gomez-Ullate, A. Gonzalez-Lopez, M. A. Rodriguez
Partially Solvable Problems in Quantum Mechanics
211--232 [Abstract]

V. V. Gorbatsevich
Isometry Groups of Solvable and Nilpotent Lie Groups
233--246 [Abstract]

G. Hector, E. Macias-Virgos
Diffeological Groups
247--260 [Abstract]

K. H. Hofmann
Counting the Topological Dimension of Large Homogeneous Spaces of Compact Groups
261--270 [Abstract]

Yu. Khakimdjanov
Characteristically Nilpotent, Filiform and Affine Lie Algebras
271--288 [Abstract]

E. Koelink
Lie Theory and Special Functions
289--304 [Abstract]

M. de Leon, J. Cortes, D. M. de Diego, S. Martinez
An Introduction to Mechanics with Symmetry
305--332 [Abstract]

X. M. Masa
Alexander-Spanier Cohomology of a Lie Foliation
333--340 [Abstract]

C. Medori, M. Nacinovich
The Levi-Malcev Theorem for Graded CR Lie Algebras
341--346 [Abstract]

C. Moreno, J. Teles
Preferred Quantizations of Nondegenerate Triangular Lie Bialgebras and Drinfeld Associators
347--366 [Abstract]

K.-H. Neeb
Highest Weight Representations and Infinite-Dimensional Kähler Manifolds
367--392 [Abstract]