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Lie groups

  • The Structure of Compact Groupsby Karl H. Hofmann; Sidney A. Morris

    De Gruyter 2013; US$ 210.00

    Dealing with subject matter of compact groups that is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics, this book ? now in its third revised and augmented edition ? has been conceived with the dual purpose of providing a text book for upper level graduate courses or seminars, and of serving as a source... more...

  • Lie Groupsby Alan Huckleberry; Ivan Penkov; Gregg Zuckerman

    Springer 2013; US$ 129.00

    Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due to Professor Wolf’s broad interests, outstanding mathematicians and scholars in a wide... more...

  • Structure and Geometry of Lie Groupsby Joachim Hilgert; Karl-Hermann Neeb

    Springer 2011; US$ 129.00

    This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay... more...

  • p-Adic Lie Groupsby Peter Schneider

    Springer 2011; US$ 99.00

    In 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...

  • Harmonic Analysis and Group Representationby Alessandro Figa-Talamanca

    Springer 2011; US$ 69.95

    This title includes: Lectures - A. Auslander, R. Tolimeri - Nilpotent groups and abelian varieties, M Cowling - Unitary and uniformly bounded representations of some simple Lie groups, M. Duflo - Construction de representations unitaires d'un groupe de Lie, R. Howe - On a notion of rank for unitary representations of the classical groups, V.S.... more...

  • Homogeneous Spaces and Equivariant Embeddingsby D.A. Timashev

    Springer 2011; US$ 149.00

    Homogeneous 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... more...

  • The Structure of Complex Lie Groupsby Dong Hoon Lee

    Taylor and Francis 2010; US$ 164.95

    Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects. The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts introduced... more...

  • Generalized Lie Theory in Mathematics, Physics and Beyondby Eugen Paal; Viktor Abramov

    Springer 2008; US$ 129.00

    Extends the understanding of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics. This volume may a useful for a broad spectrum of researchers and students, and includes contributions from several large research communities in modern mathematics and physics. more...

  • The Geometry of Infinite-Dimensional Groupsby Boris E. Khesin; Robert Wendt

    Springer 2008; US$ 69.99

    This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes unifying geometric ideas of the theory and gives numerous... more...

  • An Introduction to Lie Groups and Lie Algebrasby Alexander Kirillov

    Cambridge University Press 2008; US$ 76.00

    This 2008 book is an introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples. more...