Deformations of Mathematical Structures II

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Publisher : Springer Science & Business Media
ISBN 13 : 9401118965
Total Pages : 470 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Deformations of Mathematical Structures II by : Julian Lawrynowicz

Download or read book Deformations of Mathematical Structures II written by Julian Lawrynowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of papers on geometric structures in the context of Hurwitz-type structures and applications to surface physics. The first part of this volume concentrates on the analysis of geometric structures. Topics covered are: Clifford structures, Hurwitz pair structures, Riemannian or Hermitian manifolds, Dirac and Breit operators, Penrose-type and Kaluza--Klein-type structures. The second part contains a study of surface physics structures, in particular boundary conditions, broken symmetry and surface decorations, as well as nonlinear solutions and dynamical properties: a near surface region. For mathematicians and mathematical physicists interested in the applications of mathematical structures.

Deformations of Mathematical Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 940092643X
Total Pages : 347 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Deformations of Mathematical Structures by : Julian Lawrynowicz

Download or read book Deformations of Mathematical Structures written by Julian Lawrynowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected Papers from the Seminar on Deformations, Lódz-Lublin, 1985/87

Deformations of mathematical structures

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Deformations of mathematical structures by :

Download or read book Deformations of mathematical structures written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Deformations of Mathematical Structures

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Publisher :
ISBN 13 : 9789400926448
Total Pages : 370 pages
Book Rating : 4.9/5 (264 download)

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Book Synopsis Deformations of Mathematical Structures by : Julian Lawrynowicz

Download or read book Deformations of Mathematical Structures written by Julian Lawrynowicz and published by . This book was released on 1988-12-31 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Deformation Theory of Algebras and Structures and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9400930577
Total Pages : 1024 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Deformation Theory of Algebras and Structures and Applications by : Michiel Hazewinkel

Download or read book Deformation Theory of Algebras and Structures and Applications written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphical-methodological pillars on which deformation theory rests are the fol lowing • (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" . • (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed).

Clifford Algebras and Their Application in Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401150362
Total Pages : 458 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Clifford Algebras and Their Application in Mathematical Physics by : Volker Dietrich

Download or read book Clifford Algebras and Their Application in Mathematical Physics written by Volker Dietrich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields. This volume contains the lectures given at the Fourth Conference on Clifford Algebras and their Applications in Mathematical Physics, held at RWTH Aachen in May 1996. The papers represent an excellent survey of the newest developments around Clifford Analysis and its applications to theoretical physics. Audience: This book should appeal to physicists and mathematicians working in areas involving functions of complex variables, associative rings and algebras, integral transforms, operational calculus, partial differential equations, and the mathematics of physics.

Perspectives of Complex Analysis, Differential Geometry, and Mathematical Physics

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Publisher : World Scientific
ISBN 13 : 9810245971
Total Pages : 220 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Perspectives of Complex Analysis, Differential Geometry, and Mathematical Physics by : Stancho Dimiev

Download or read book Perspectives of Complex Analysis, Differential Geometry, and Mathematical Physics written by Stancho Dimiev and published by World Scientific. This book was released on 2001 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinary discussions. The lectures presented ranged over various current topics in those fields. The proceedings will be of value to graduate students and researchers in complex analysis, differential geometry and theoretical physics, and also related fields.

Perspectives Of Complex Analysis, Differential Geometry And Mathematical Physics - Proceedings Of The 5th International Workshop On Complex Structures And Vector Fields

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Publisher : World Scientific
ISBN 13 : 9814491217
Total Pages : 220 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Perspectives Of Complex Analysis, Differential Geometry And Mathematical Physics - Proceedings Of The 5th International Workshop On Complex Structures And Vector Fields by : Stancho Dimiev

Download or read book Perspectives Of Complex Analysis, Differential Geometry And Mathematical Physics - Proceedings Of The 5th International Workshop On Complex Structures And Vector Fields written by Stancho Dimiev and published by World Scientific. This book was released on 2001-08-02 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinary discussions. The lectures presented ranged over various current topics in those fields. The proceedings will be of value to graduate students and researchers in complex analysis, differential geometry and theoretical physics, and also related fields.

Complex Analysis and Related Topics

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Publisher : Birkhäuser
ISBN 13 : 3034886985
Total Pages : 282 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Complex Analysis and Related Topics by : E. Ramirez de Arellano

Download or read book Complex Analysis and Related Topics written by E. Ramirez de Arellano and published by Birkhäuser. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, addressed to researchers and postgraduate students, compiles up-to-date research and expository papers on different aspects of complex analysis, including relations to operator theory and hypercomplex analysis. Subjects include the Schrödinger equation, subelliptic operators, Lie algebras and superalgebras, among others.

Clifford Algebras and their Applications in Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461213681
Total Pages : 470 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Clifford Algebras and their Applications in Mathematical Physics by : Rafal Ablamowicz

Download or read book Clifford Algebras and their Applications in Mathematical Physics written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The plausible relativistic physical variables describing a spinning, charged and massive particle are, besides the charge itself, its Minkowski (four) po sition X, its relativistic linear (four) momentum P and also its so-called Lorentz (four) angular momentum E # 0, the latter forming four trans lation invariant part of its total angular (four) momentum M. Expressing these variables in terms of Poincare covariant real valued functions defined on an extended relativistic phase space [2, 7J means that the mutual Pois son bracket relations among the total angular momentum functions Mab and the linear momentum functions pa have to represent the commutation relations of the Poincare algebra. On any such an extended relativistic phase space, as shown by Zakrzewski [2, 7], the (natural?) Poisson bracket relations (1. 1) imply that for the splitting of the total angular momentum into its orbital and its spin part (1. 2) one necessarily obtains (1. 3) On the other hand it is always possible to shift (translate) the commuting (see (1. 1)) four position xa by a four vector ~Xa (1. 4) so that the total angular four momentum splits instead into a new orbital and a new (Pauli-Lubanski) spin part (1. 5) in such a way that (1. 6) However, as proved by Zakrzewski [2, 7J, the so-defined new shifted four a position functions X must fulfill the following Poisson bracket relations: (1.

Clifford Algebras and their Applications in Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817641825
Total Pages : 500 pages
Book Rating : 4.6/5 (418 download)

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Book Synopsis Clifford Algebras and their Applications in Mathematical Physics by : Rafał Abłamowicz

Download or read book Clifford Algebras and their Applications in Mathematical Physics written by Rafał Abłamowicz and published by Springer Science & Business Media. This book was released on 2000 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of a two-volume set concerning the field of Clifford (geometric) algebra, this work consists of thematically organized chapters that provide a broad overview of cutting-edge topics in mathematical physics and the physical applications of Clifford algebras. algebras and their applications in physics. Algebraic geometry, cohomology, non-communicative spaces, q-deformations and the related quantum groups, and projective geometry provide the basis for algebraic topics covered. Physical applications and extensions of physical theories such as the theory of quaternionic spin, a projective theory of hadron transformation laws, and electron scattering are also presented, showing the broad applicability of Clifford geometric algebras in solving physical problems. Treatment of the structure theory of quantum Clifford algebras, the connection to logic, group representations, and computational techniques including symbolic calculations and theorem proving rounds out the presentation.

Quaternionic Structures In Mathematics And Physics - Proceedings Of The Second Meeting

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Publisher : World Scientific
ISBN 13 : 9814490970
Total Pages : 486 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quaternionic Structures In Mathematics And Physics - Proceedings Of The Second Meeting by : Stefano Marchiafava

Download or read book Quaternionic Structures In Mathematics And Physics - Proceedings Of The Second Meeting written by Stefano Marchiafava and published by World Scientific. This book was released on 2001-07-11 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last five years, after the first meeting on “Quaternionic Structures in Mathematics and Physics”, interest in quaternionic geometry and its applications has continued to increase. Progress has been made in constructing new classes of manifolds with quaternionic structures (quaternionic Kähler, hyper-Kähler, hyper-complex, etc.), studying the differential geometry of special classes of such manifolds and their submanifolds, understanding relations between the quaternionic structure and other differential-geometric structures, and also in physical applications of quaternionic geometry. Some generalizations of classical quaternion-like structures (like HKT structures and hyper-Kähler manifolds with singularities) appeared naturally and were studied. Some of those results are published in this book.

Maurer–Cartan Methods in Deformation Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108967027
Total Pages : 188 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Maurer–Cartan Methods in Deformation Theory by : Vladimir Dotsenko

Download or read book Maurer–Cartan Methods in Deformation Theory written by Vladimir Dotsenko and published by Cambridge University Press. This book was released on 2023-08-31 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering an exceptional range of topics, this text provides a unique overview of the Maurer—Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.

Complex Manifolds and Deformation of Complex Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 1461385903
Total Pages : 476 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Complex Manifolds and Deformation of Complex Structures by : K. Kodaira

Download or read book Complex Manifolds and Deformation of Complex Structures written by K. Kodaira and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of complex manifolds and their deformations. Deformation of the complex structure of Riemann surfaces is an idea which goes back to Riemann who, in his famous memoir on Abelian functions published in 1857, calculated the number of effective parameters on which the deformation depends. Since the publication of Riemann's memoir, questions concerning the deformation of the complex structure of Riemann surfaces have never lost their interest. The deformation of algebraic surfaces seems to have been considered first by Max Noether in 1888 (M. Noether: Anzahl der Modulen einer Classe algebraischer Fliichen, Sitz. K6niglich. Preuss. Akad. der Wiss. zu Berlin, erster Halbband, 1888, pp. 123-127). However, the deformation of higher dimensional complex manifolds had been curiously neglected for 100 years. In 1957, exactly 100 years after Riemann's memoir, Frolicher and Nijenhuis published a paper in which they studied deformation of higher dimensional complex manifolds by a differential geometric method and obtained an important result. (A. Fr61icher and A. Nijenhuis: A theorem on stability of complex structures, Proc. Nat. Acad. Sci., U.S.A., 43 (1957), 239-241).

Deformation Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 3834896802
Total Pages : 174 pages
Book Rating : 4.8/5 (348 download)

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Book Synopsis Deformation Spaces by : Hossein Abbaspour

Download or read book Deformation Spaces written by Hossein Abbaspour and published by Springer Science & Business Media. This book was released on 2010-04-21 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn.

Compositions of Quadratic Forms

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Publisher : Walter de Gruyter
ISBN 13 : 3110824833
Total Pages : 433 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Compositions of Quadratic Forms by : Daniel B. Shapiro

Download or read book Compositions of Quadratic Forms written by Daniel B. Shapiro and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)

Deformations of mathematical structures

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (17 download)

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Book Synopsis Deformations of mathematical structures by : Julian Ławrynowicz

Download or read book Deformations of mathematical structures written by Julian Ławrynowicz and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: