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Lie groups

  • Matricesby Denis Serre

    Springer New York 2010; US$ 64.95

    This book is a clean and concise introduction to the basic theory of matrices. It also contains many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. The book mixes together... more...

  • Mengentheoretische Topologieby Boto von Querenburg

    Springer Berlin Heidelberg 2013; US$ 23.71

    Eine verständliche und vollständige Einführung in die Mengentheoretische Topologie, die als Begleittext zu einer Vorlesung, aber auch zum Selbststudium für Studenten ab dem 3. Semester bestens geeignet ist. Zahlreiche Aufgaben ermöglichen ein systematisches Erlernen des Stoffes, wobei Lösungshinweise bzw. Musterlösungen zu ausgewählten Aufgaben bereitgestellt... more...

  • Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spacesby Lev V. Sabinin

    Springer Netherlands 2006; US$ 106.74

    As K. Nomizu has justly noted [K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric problems came into being in connection with so called subsymmetric spaces, subsymmetries, and... more...

  • Physical Applications of Homogeneous Ballsby Tzvi Scarr; Yaakov Friedman

    Birkhäuser Boston 2013; US$ 92.79

    One of the mathematical challenges of modern physics lies in the development of new tools to efficiently describe different branches of physics within one mathematical framework. This text introduces precisely such a broad mathematical model, one that gives a clear geometric expression of the symmetry of physical laws and is entirely determined by... more...

  • Pontryagin Duality and the Structure of Locally Compact Abelian Groupsby Sidney A. Morris

    Cambridge University Press 1977; US$ 52.00

    These lecture notes begin with an introduction to topological groups. more...

  • Probability on Compact Lie Groupsby David Applebaum; Herbert Heyer

    Springer International Publishing 2014; US$ 73.61

    Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to... more...

  • Profinite Groupsby Luis Ribes; Pavel Zalesskii

    Springer Berlin Heidelberg 2010; US$ 147.23

    This updated book serves both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. This revised edition contains new results, improved proofs, typographical corrections, and an enlarged bibliography. more...

  • Quantization and Arithmeticby André Unterberger

    Birkhäuser Basel 2008; US$ 52.75

    This book creates situations in which the zeta function, or other L-functions, appear in spectral-theoretic questions. It also connects pseudo-differential analysis, or quantization theory, to analytic number theory. more...

  • Quantum Theory for Mathematiciansby Brian C. Hall

    Springer New York 2013; US$ 73.61

    This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into key topics. more...

  • Representation Theory and Complex Geometryby Neil Chriss; victor ginzburg

    Birkhäuser Boston 2009; US$ 87.63

    This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory. more...