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Lie groups

  • Fearful Symmetryby A. Zee; Roger Penrose

    Princeton University Press 2015; US$ 31.95

    Fearful Symmetry brings the incredible discoveries of contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how today's theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and... more...

  • Lie Theory and Its Applications in Physicsby Vladimir Dobrev

    Springer Japan 2015; US$ 189.00

    Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrization and symmetries... more...

  • Symmetry: Representation Theory and Its Applicationsby Roger E. Howe; Markus Hunziker; Jeb F. Willenbring

    Springer New York 2015; US$ 149.00

    Nolan Wallach's mathematical research is remarkable in both its breadth and  depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running... more...

  • Iwasawa Theory 2012by Thanasis Bouganis; Otmar Venjakob

    Springer Berlin Heidelberg 2014; US$ 169.00

    This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians... more...

  • Harmonic Analysis on Exponential Solvable Lie Groupsby Hidenori Fujiwara; Jean Ludwig

    Springer Japan 2014; US$ 129.00

    This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by... more...

  • Symmetric Spaces and the Kashiwara-Vergne Methodby Francois Rouviere

    Springer International Publishing 2014; US$ 49.99

    Gathering and updating results scattered in journal articles over thirty years, this self-contained monograph gives a comprehensive introduction to the subject. Its goal is to: - motivate and explain the method for general Lie groups, reducing the proof of deep results in invariant analysis to the verification of two formal Lie bracket identities related... more...

  • Hypercomplex Analysis: New Perspectives and Applicationsby Swanhild Bernstein; Uwe Kähler; Irene Sabadini; Frank Sommen

    Springer International Publishing 2014; US$ 99.00

    Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted by the concept of a monogenic function. In recent decades this theory has come to the forefront of higher dimensional analysis. There are several approaches to this: quaternionic analysis which merely uses quaternions,... more...

  • Time-Varying Vector Fields and Their Flowsby Saber Jafarpour; Andrew Lewis

    Springer International Publishing 2014; US$ 54.99

    This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the manner in which the various hypotheses are unified... more...

  • Representations of Lie Groups, Kyoto, Hiroshima, 1986by K. Okamoto; T. Oshima

    Elsevier Science 2014; US$ 93.95

    Representations of Lie Groups, Kyoto, Hiroshima, 1986 contains the proceedings of a symposium on "Analysis on Homogeneous Spaces and Representations of Lie Groups" held on September 1-6, 1986 in Japan. The symposium provided a forum for discussing Lie groups and covered topics ranging from geometric constructions of representations to the irreducibility... more...

  • Descriptive Topology and Functional Analysisby

    Springer International Publishing 2014; US$ 139.00

    Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems.... more...