Research and Exposition in Mathematics

Volume 25

I. Bajo, E. Sanmartin (eds.)
Recent Advances in Lie Theory
406 p., soft cover, ISBN 3-88538-225-3, EUR 44.00, 2002

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]