This book provides a complete and reasonably self-contained account of a new c...This book provides a complete and reasonably self-contained account of a new classification of connected Lie groups into two classes. The first part describes the use of tools from potential theory to establish the classification and to show that...more
Its first part which is written by Onishchik and Vinberg is an introduction to...Its first part which is written by Onishchik and Vinberg is an introduction to the theory of Lie groups and Lie algebras. The second more advanced part by Gorbatsevich and Onishchik deals with Lie transformation groups and covers the work of the...more
The theory of unitary group representations began with finite groupsand bloss...The theory of unitary group representations began with finite groups and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis and as a tool for understanding various physical phenomena. Combining basic...more
This book provides an extensive treatment of PotentialTheory for sub-Laplacia...This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups and of their Lie algebra of left-invariant vector fields. The...more
The first part of this bookon Discrete Subgroups of LieGroups is written by ...The first part of this book on Discrete Subgroups of Lie Groups is written by E.B. Vinberg V.V. Gorbatsevich and O.V. Shvartsman. Various types of discrete subgroups of Lie groups arise in the theory of functions of complex variables arithmetic...more
The book contains a comprehensive account of the structure and classification ...The book contains a comprehensive account of the structure and classification of Lie groups and finite-dimensional Lie algebras (including semisimple solvable and of general type). In particular a modern approach to the description of automorphisms...more
The first part of this bookon Discrete Subgroups of LieGroups is written by ...The first part of this book on Discrete Subgroups of Lie Groups is written by E.B. Vinberg V.V. Gorbatsevich and O.V. Shvartsman. Various types of discrete subgroups of Lie groups arise in the theory of functions of complex variables arithmetic...more
At the crossroads of representation theory algebraic geometryand finite group...At the crossroads of representation theory algebraic geometry and finite group theory this book brings together many of the main concerns of modern algebra synthesizing the past twenty-five years of research by including some of the most remarkable...more
At the crossroads of representation theory algebraic geometryand finite group...At the crossroads of representation theory algebraic geometry and finite group theory this book brings together many of the main concerns of modern algebra synthesizing the past twenty-five years of research by including some of the most remarkable...more
Arithmetic groups are generalisations to the setting of algebraic groups over ...Arithmetic groups are generalisations to the setting of algebraic groups over a global field of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich diverse...more
This book is intended as an introductory text on the subject of Liegroupsand...This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is written by and for researchers who are primarily analysts or physicists not algebraists or...more
This book methodically covers Analysis on manifolds Liegroupsand G-manifolds...This book methodically covers Analysis on manifolds Lie groups and G-manifolds; Symplectic algebra and geometry Hamiltonian systems symmetries and reduction; Integrable systems and Hamilton-Jacobi theory including Morse families the Maslov class and...more
This book methodically covers Analysis on manifolds Liegroupsand G-manifolds...This book methodically covers Analysis on manifolds Lie groups and G-manifolds; Symplectic algebra and geometry Hamiltonian systems symmetries and reduction; Integrable systems and Hamilton-Jacobi theory including Morse families the Maslov class and...more
Elements of Analysis of Stratified Groups.- Stratified Groupsand Sub-Laplacia...Elements of Analysis of Stratified Groups.- Stratified Groups and Sub-Laplacians.- Abstract Lie Groups and Carnot Groups.- Carnot Groups of Step Two.- Examples of Carnot Groups.- The Fundamental Solution for a Sub-Laplacian and Applications.-...more
Elements of Analysis of Stratified Groups.- Stratified Groupsand Sub-Laplacia...Elements of Analysis of Stratified Groups.- Stratified Groups and Sub-Laplacians.- Abstract Lie Groups and Carnot Groups.- Carnot Groups of Step Two.- Examples of Carnot Groups.- The Fundamental Solution for a Sub-Laplacian and Applications.-...more