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p-Adic Lie Groupsby Peter Schneider
Springer 2011; US$ 99.00In addition to providing a self-contained introduction to p-adic lie groups, this volume discusses spaces of locally analytic functions as topological vector spaces, important to applications in representation theory. more...
Homogeneous Spaces and Equivariant Embeddingsby D.A. Timashev
Springer 2011; US$ 124.00Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space it is natural and helpful to compactify it keeping track of the group action, i.e. to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna--Vust theory) and description of various geometric and representation-theoretic... more...
Lectures On Lie Groupsby W Y Hsiang
World Scientific 2000; US$ 41.60This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. more...
The Structure of Complex Lie Groupsby Dong Hoon Lee
CRC Press 2001; US$ 119.95This volume addresses the structural aspects of complex Lie groups. It discusses algebraic subgroups of complex Lie groups and explores the extension problem of representations - that is, the "observability" of subgroups of complex Lie groups. more...
Elements of Mathematicsby Nicolas Bourbaki
Springer 2005; US$ 149.00This text completes the previously published translations of Chapters 1-3 and 4-6 by covering the structure and representation theory of semi-simple Lie algebras and compact Lie groups. more...
The Structure of Compact Groupsby Karl H. Hofmann; Sidney A. Morris
Walter de Gruyter, Inc. 2006; US$ 148.00Deals with the subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics. This book is suitable for upper level graduate courses or seminars. It is useful for research specialists who need to apply the structure and representation theory of compact groups. more...
Lie Theoryby Jean-Philippe Anker; Bent Orsted
Springer 2005; US$ 84.95Suitable for both graduate students and researchers in semi simple Lie theory and neighboring fields, this work provides an examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics. more...
Cycle Spaces of Flag Domainsby Gregor Fels; Alan Huckleberry; Joseph A. Wolf
Springer 2006; US$ 99.00Divided into four parts, this monograph presents a comprehensive treatment and systematic examination of cycle spaces of flag domains. Assuming only a basic familiarity with the concepts of Lie theory and geometry, it presents a structure theory for these cycle spaces, as well as their applications to harmonic analysis and algebraic geometry. more...
Algebraic and Analytic Methods in Representation Theoryby Bent Orsted
Elsevier 1996; US$ 70.00This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field more...
Lie Groups, Physics, and Geometryby Robert Gilmore
Cambridge University Press 2008; US$ 68.00Introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering. more...