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Holomorphy and Convexity in Lie Theory

Holomorphy and Convexity in Lie Theory
Author: Karl-Hermann Neeb
Publisher: Walter de Gruyter
Total Pages: 804
Release: 2011-04-20
Genre: Mathematics
ISBN: 3110808145

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The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany


Positivity in Lie Theory

Positivity in Lie Theory
Author: Joachim Hilgert
Publisher: Walter de Gruyter
Total Pages: 305
Release: 2011-06-24
Genre: Mathematics
ISBN: 3110811189

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The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)


Extension of Holomorphic Functions

Extension of Holomorphic Functions
Author: Marek Jarnicki
Publisher: Walter de Gruyter
Total Pages: 501
Release: 2011-06-24
Genre: Mathematics
ISBN: 3110809788

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The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)


Lie Groups, Convex Cones, and Semigroups

Lie Groups, Convex Cones, and Semigroups
Author: Joachim Hilgert
Publisher: Oxford University Press, USA
Total Pages: 696
Release: 1989
Genre: Law
ISBN:

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This is the first and only reference to provide a comprehensive treatment of the Lie theory of subsemigroups of Lie groups. The book is uniquely accessible and requires little specialized knowledge. It includes information on the infinitesimal theory of Lie subsemigroups, and a characterization of those cones in a Lie algebra which are invariant under the action of the group of inner automporphisms. It provides full treatment of the local Lie theory for semigroups, and finally, gives the reader a useful account of the global theory for the existence of subsemigroups with a given set of infinitesimal generators.


Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications
Author: Ali Baklouti
Publisher: Springer Nature
Total Pages: 268
Release: 2021-10-29
Genre: Mathematics
ISBN: 3030783464

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This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics. All the authors participated in the 6th Tunisian-Japanese conference "Geometric and Harmonic Analysis on homogeneous spaces and Applications" held at Djerba Island in Tunisia during the period of December 16-19, 2019. The aim of this conference and the five preceding Tunisian-Japanese meetings was to keep up with the active development of representation theory interrelated with various other mathematical fields, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations, and mathematical physics. The present volume is dedicated to the memory of Takaaki Nomura, who organized the series of Tunisian-Japanese conferences with great effort and enthusiasm. The book is a valuable resource for researchers and students working in various areas of analysis, geometry, and algebra in connection with representation theory.


Positivity in Lie Theory

Positivity in Lie Theory
Author: Joachim Hilgert
Publisher: Walter de Gruyter
Total Pages: 312
Release: 1998
Genre: Mathematics
ISBN: 9783110161120

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Sets out a series of problems to demonstrate to newcomers to Lie theory how notions of positivity in it occur in quite diverse settings, vary widely both in nature and application, and are approached from quite divergent mathematical viewpoints. Each of the 15 chapters (one in French) addresses a specific problem or a circle of problems at a level apprehendable by a graduate student with a sound knowledge of basic Lie theory. The emphasis is on smaller problems that might serve as guidelines to the main problems. Among the topics are exponential functions, invariant cones in real representations, total positivity, discrete series and analyticity, harmonic analysis on causal symmetric spaces, and linear algebraic monoids. A web site has been established to disseminate solutions to any of the problems. Annotation copyrighted by Book News, Inc., Portland, OR


Semigroups in Algebra, Geometry and Analysis

Semigroups in Algebra, Geometry and Analysis
Author: Karl H. Hofmann
Publisher: Walter de Gruyter
Total Pages: 385
Release: 2011-06-24
Genre: Mathematics
ISBN: 3110885581

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The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)


Journal of Lie Theory

Journal of Lie Theory
Author:
Publisher:
Total Pages: 644
Release: 2002
Genre: Lie algebras
ISBN:

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