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Lie groups

  • Computational Invariant Theoryby Harm Derksen; Gregor Kemper

    Springer Berlin Heidelberg 2015; US$ 115.49

    This book is about the computational aspects of invariant theory. Of central interest is the question how the  invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. There are two introductory chapters, one on Gröbner basis methods and one on the basic concepts... more...

  • Fearful Symmetryby A. Zee; Roger Penrose

    Princeton University Press 2015; Not Available

    The concept of symmetry has widespread manifestations and many diverse applications—from architecture to mathematics to science. Yet, as twentieth-century physics has revealed, symmetry has a special, central role in nature, one that is occasionally and enigmatically violated. Fearful Symmetry brings the incredible discoveries of the juxtaposition... more...

  • Harmonic and Applied Analysisby Stephan Dahlke; Filippo De Mari; Philipp Grohs; Demetrio Labate

    Springer International Publishing 2015; US$ 86.61

    This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing.  It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay... more...

  • Lie Theory and Its Applications in Physicsby Vladimir Dobrev

    Springer Japan 2015; US$ 127.04

    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 Howe; Markus Hunziker; Jeb F. Willenbring

    Springer New York 2015; US$ 103.94

    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$ 115.49

    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$ 98.16

    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 François Rouvière

    Springer International Publishing 2014; US$ 34.64

    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$ 69.29

    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 D. Lewis

    Springer International Publishing 2014; US$ 49.65

    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...