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Book
Generalized Lie theory in mathematics, physics and beyond
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ISBN: 3540853316 3642099041 9786611904531 1281904538 3540853324 Year: 2009 Publisher: Berlin : Springer,

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Abstract

The goal of this book is to extend the understanding of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics. This volume is devoted to the interplay between several rapidly expanding research fields in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book will be a useful source of inspiration for a broad spectrum of researchers and for research students, and includes contributions from several large research communities in modern mathematics and physics. This volume consists of 5 parts comprising 25 chapters, which were contributed by 32 researchers from 12 different countries. All contributions in the volume have been refereed.


Book
Algebra, Geometry and Mathematical Physics : AGMP, Mulhouse, France, October 2011
Authors: --- --- ---
ISBN: 3642553613 3642553605 1322139601 Year: 2014 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetries and conservation laws and mathematical physics and applications, the book covers deformation theory and quantization; Hom-algebras and n-ary algebraic structures; Hopf algebra, integrable systems and related math structures; jet theory and Weil bundles; Lie theory and applications; non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization, and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book benefits a broad audience of researchers and advanced students.


Book
Analysis for science, engineering and beyond : the tribute workshop in honour of Gunnar Sparr held in Lund, May 8-9, 2008
Authors: --- ---
ISBN: 3642202357 3642447856 9786613576842 3642202365 1280398922 Year: 2012 Publisher: Berlin ; Heidelberg : Springer,

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This book project was initiated at The Tribute Workshop in Honour of Gunnar Sparr and the follow-up workshop Inequalities, Interpolation, Non-commutative Analysis, Non-commutative Geometry and Applications, held at the Centre for Mathematical Sciences, Lund University in May and November of 2008.  The resulting book is dedicated in celebration of Gunnar Sparr's sixty-fifth anniversary and more than forty years of exceptional service to mathematics and its applications in engineering and technology, mathematics and engineering education, as well as interdisciplinary, industrial and international cooperation.   This book presents new advances in several areas of mathematics and engineering mathematics including applications in modern technology, engineering and life sciences.  Thirteen high-quality chapters put forward many new methods and results, reviews of up to date research and open directions and problems for future research. A special chapter by Gunnar Sparr and Georg Lindgren contains a historical account and important aspects of engineering mathematics research and education, and the implementation of the highly successful education programme in Engineering Mathematics at Lund Institute of Technology,  where not only the mathematical sciences have played a role. This book will serve as a source of inspiration for a broad spectrum of researchers and research students.


Digital
Analysis for Science, Engineering and Beyond : The Tribute Workshop in Honour of Gunnar Sparr held in Lund, May 8-9, 2008
Authors: --- ---
ISBN: 9783642202360 Year: 2012 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg


Digital
Algebra, Geometry and Mathematical Physics : AGMP, Mulhouse, France, October 2011
Authors: --- --- ---
ISBN: 9783642553615 Year: 2014 Publisher: Berlin, Heidelberg Springer

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Abstract

This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetries and conservation laws and mathematical physics and applications, the book covers deformation theory and quantization; Hom-algebras and n-ary algebraic structures; Hopf algebra, integrable systems and related math structures; jet theory and Weil bundles; Lie theory and applications; non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization, and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book benefits a broad audience of researchers and advanced students.


Book
Operator algebra and dynamics : Nordforsk Network Closing Conference, Faroe Islands, May 2012
Authors: --- --- --- ---
ISBN: 3642394582 3642394590 Year: 2013 Publisher: Heidelberg, Germany : Springer,

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Abstract

Based on presentations given at the NordForsk Network Closing Conference “Operator Algebra and Dynamics,” held in Gjáargarður, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.   It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite Cuntz-Krieger algebras, filtered K-theory over finite topological spaces, C*-algebras associated to shift spaces (or subshifts), graph C*-algebras, irrational extended rotation algebras that are shown to be C*-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras, Cuntz-Li algebras associated with the a-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossed products), the interplay between dynamical systems, operator algebras and wavelets on fractals, C*-completions of the Hecke algebra of a Hecke pair, semiprojective C*-algebras, and the topological dimension of type I C*-algebras.   Operator Algebra and Dynamics will serve as a useful resource for a  broad spectrum of researchers and  students in mathematics, physics, and engineering.

Keywords

Civil & Environmental Engineering --- Engineering & Applied Sciences --- Operations Research --- Mathematical analysis. --- Algebra. --- 517.1 Mathematical analysis --- Mathematical analysis --- Mathematics. --- Associative rings. --- Rings (Algebra). --- Group theory. --- Topological groups. --- Lie groups. --- Harmonic analysis. --- Dynamics. --- Ergodic theory. --- Functional analysis. --- Abstract Harmonic Analysis. --- Associative Rings and Algebras. --- Dynamical Systems and Ergodic Theory. --- Functional Analysis. --- Group Theory and Generalizations. --- Topological Groups, Lie Groups. --- Mathematics --- Differentiable dynamical systems. --- Topological Groups. --- Groups, Topological --- Continuous groups --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Ergodic transformations --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra) --- Operator algebras --- Differentiable dynamical systems


Book
Analysis for Science, Engineering and Beyond
Authors: --- --- ---
ISBN: 9783642202360 Year: 2012 Publisher: Berlin, Heidelberg Springer Berlin Heidelberg

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Abstract

This book project was initiated at The Tribute Workshop in Honour of Gunnar Sparr and the follow-up workshop Inequalities, Interpolation, Non-commutative Analysis, Non-commutative Geometry and Applications, held at the Centre for Mathematical Sciences, Lund University in May and November of 2008.  The resulting book is dedicated in celebration of Gunnar Sparr's sixty-fifth anniversary and more than forty years of exceptional service to mathematics and its applications in engineering and technology, mathematics and engineering education, as well as interdisciplinary, industrial and international cooperation.   This book presents new advances in several areas of mathematics and engineering mathematics including applications in modern technology, engineering and life sciences.  Thirteen high-quality chapters put forward many new methods and results, reviews of up to date research and open directions and problems for future research. A special chapter by Gunnar Sparr and Georg Lindgren contains a historical account and important aspects of engineering mathematics research and education, and the implementation of the highly successful education programme in Engineering Mathematics at Lund Institute of Technology,  where not only the mathematical sciences have played a role. This book will serve as a source of inspiration for a broad spectrum of researchers and research students.

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