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Lie groups

Most popular at the top

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

    Springer 2011; US$ 149.00

    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...

  • Lectures On Lie Groupsby W Y Hsiang

    World Scientific Publishing Company 2000; US$ 63.00

    This 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... more...

  • Elements of Mathematicsby Nicolas Bourbaki

    Springer 2005; US$ 149.00

    This 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...

  • Cycle Spaces of Flag Domainsby Gregor Fels; Alan Huckleberry; Joseph A. Wolf

    Springer 2006; US$ 169.00

    Divided 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...

  • Lie Theoryby Jean-Philippe Anker; Bent Orsted

    Springer 2006; US$ 139.00

    Suitable 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...

  • Elements De Mathematique. Groupes ET Algebres De Lieby N. Bourbaki

    Springer 2007; US$ 79.95

    Ce deuxieme volume du Livre sur les Groupes et algebres de Lie, neuvieme Livre du traite, comprend les chapitres: 2. Algebres de Lie libres; 3. Groupes de Lie. Le chapitre 2 poursuit la presentation des notions fondamentales des algebres de Lie avec l introduction des algebres de Lie libres et de la serie de Hausdorff. Le chapitre 3 est consacre aux... more...

  • Continuous Linear Representationsby Z. Magyar

    Elsevier Science 1992; US$ 72.95

    This monograph gives access to the theory of continuous linear representations of general real Lie groups to readers who are already familiar with the rudiments of functional analysis and Lie groups. The first half of the book is centered around the relation between a continuous linear representation (of a Lie group over a Banach space or even a... more...

  • Unitary Representations and Harmonic Analysisby M. Sugiura

    Elsevier Science 1990; US$ 72.95

    The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the... 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...

  • Lie theory and special functionsby Miller

    Elsevier Science 1968; US$ 84.50

    Lie theory and special functions more...