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.
Contents
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]