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Author : Marja Kankaanrinta
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (318 download)
Download or read book Proper Real Analytic Actions of Lie Groups on Manifolds written by Marja Kankaanrinta and published by . This book was released on 1991 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dimitrij Akhiezer
Publisher : Springer Science & Business Media
ISBN 13 : 3322802671
Total Pages : 212 pages
Book Rating : 4.3/5 (228 download)
Download or read book Lie Group Actions in Complex Analysis written by Dimitrij Akhiezer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topic of this book is the sudy of the interaction between two major subjects of modern mathematics, namely, the theory of Lie groups with its specific methods and ways of thinking on the one hand and complex analysis with all its analytic, algebraic and geometric aspects. More specifically, the author concentrates on the double role of Lie groups in complex analysis, namely, as groups of biholomorphic self-made of certain complex analytic objects on the one hand and as a special class of complex manifolds with an additional strong structure on the other hand. The book starts from the basics of this subject and introduces the reader into many fields of recent research.
Author : J.J. Duistermaat
Publisher : Springer Science & Business Media
ISBN 13 : 3642569366
Total Pages : 352 pages
Book Rating : 4.6/5 (425 download)
Download or read book Lie Groups written by J.J. Duistermaat and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This (post) graduate text gives a broad introduction to Lie groups and algebras with an emphasis on differential geometrical methods. It analyzes the structure of compact Lie groups in terms of the action of the group on itself by conjugation, culminating in the classification of the representations of compact Lie groups and their realization as sections of holomorphic line bundles over flag manifolds. Appendices provide background reviews.
Author : V.S. Varadarajan
Publisher : Springer Science & Business Media
ISBN 13 : 1461211263
Total Pages : 444 pages
Book Rating : 4.4/5 (612 download)
Download or read book Lie Groups, Lie Algebras, and Their Representations written by V.S. Varadarajan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which present various aspects of the theory in great depth. However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi simple Lie groups and Lie algebras in detail. This book is an attempt to fiii this need. It is my hope that this book will introduce the aspiring graduate student as well as the nonspecialist mathematician to the fundamental themes of the subject. I have made no attempt to discuss infinite-dimensional representations. This is a very active field, and a proper treatment of it would require another volume (if not more) of this size. However, the reader who wants to take up this theory will find that this book prepares him reasonably well for that task.
Author : Demeter Krupka
Publisher : Elsevier
ISBN 13 : 0080556736
Total Pages : 1243 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Global Analysis written by Demeter Krupka and published by Elsevier. This book was released on 2011-08-11 with total page 1243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents
Author : Alexander A. Kirillov
Publisher : Cambridge University Press
ISBN 13 : 0521889693
Total Pages : 237 pages
Book Rating : 4.5/5 (218 download)
Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Author : Anthony Bak
Publisher : Springer Science & Business Media
ISBN 13 : 9781402007835
Total Pages : 272 pages
Book Rating : 4.0/5 (78 download)
Download or read book Current Trends in Transformation Groups written by Anthony Bak and published by Springer Science & Business Media. This book was released on 2002-07-31 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.
Author : Frank Quinn
Publisher : Princeton University Press
ISBN 13 : 1400882583
Total Pages : 340 pages
Book Rating : 4.4/5 (8 download)
Download or read book Prospects in Topology (AM-138), Volume 138 written by Frank Quinn and published by Princeton University Press. This book was released on 2016-03-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, calculations of algebraic K-theory, a result on analytic structures on Lie group actions, a presentation of the significance of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries of simply connected manifolds, and a fresh perspective on the topological classification of linear transformations. The contributors include A. Adem, A. H. Assadi, M. Bökstedt, S. E. Cappell, R. Charney, M. W. Davis, P. J. Eccles, M. H. Freedman, I. Hambleton, J. C. Hausmann, S. Illman, G. Katz, M. Kreck, W. Lück, I. Madsen, R. J. Milgram, J. Morava, E. K. Pedersen, V. Puppe, F. Quinn, A. Ranicki, J. L. Shaneson, D. Sullivan, P. Teichner, Z. Wang, and S. Weinberger.
Author : V.V. Gorbatsevich
Publisher : Springer Science & Business Media
ISBN 13 : 364257999X
Total Pages : 241 pages
Book Rating : 4.6/5 (425 download)
Download or read book Lie Groups and Lie Algebras I written by V.V. Gorbatsevich and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" --The New Zealand Mathematical Society Newsletter
Author : Mikio Ise
Publisher : American Mathematical Soc.
ISBN 13 : 0821845446
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lie Groups I written by Mikio Ise and published by American Mathematical Soc.. This book was released on 1991 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a wide range of problems connected with rational approximations of numbers and analytic functions; these problems touch on many topics in contemporary analysis, such as analytic functions, orthogonal polynomials, spectral theory of operators, and potential theory.
Author : Dong Hoon Lee
Publisher : CRC Press
ISBN 13 : 9781420035452
Total Pages : 238 pages
Book Rating : 4.0/5 (354 download)
Download or read book The Structure of Complex Lie Groups written by Dong Hoon Lee and published by CRC Press. This book was released on 2001-08-31 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects. The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts
Author : Peter J. Olver
Publisher : Springer Science & Business Media
ISBN 13 : 1468402749
Total Pages : 524 pages
Book Rating : 4.4/5 (684 download)
Download or read book Applications of Lie Groups to Differential Equations written by Peter J. Olver and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detail. The exposition is reasonably self-contained, and supplemented by numerous examples of direct physical importance, chosen from classical mechanics, fluid mechanics, elasticity and other applied areas.
Author : V. S. Varadarajan
Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.F/5 ( download)
Download or read book Lie Groups written by V. S. Varadarajan and published by . This book was released on 1967 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Howard D Fegan
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103469
Total Pages : 147 pages
Book Rating : 4.8/5 (131 download)
Download or read book Introduction To Compact Lie Groups written by Howard D Fegan and published by World Scientific Publishing Company. This book was released on 1991-07-30 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two approaches to compact lie groups: by computation as matrices or theoretically as manifolds with a group structure. The great appeal of this book is the blending of these two approaches. The theoretical results are illustrated by computations and the theory provides a commentary on the computational work. Indeed, there are extensive computations of the structure and representation theory for the classical groups SU(n), SO(n) and Sp(n). A second exciting feature is that the differential geometry of a compact Lie group, both the classical curvature studies and the more recent heat equation methods, are treated. A large number of formulas for the connection and curvature are conveniently gathered together.This book provides an excellent text for a first course in compact Lie groups.
Author : Dimitrij Akhiezer
Publisher : Vieweg+Teubner Verlag
ISBN 13 : 9783528064204
Total Pages : 204 pages
Book Rating : 4.0/5 (642 download)
Download or read book Lie Group Actions in Complex Analysis written by Dimitrij Akhiezer and published by Vieweg+Teubner Verlag. This book was released on 1995-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topic of this book is the sudy of the interaction between two major subjects of modern mathematics, namely, the theory of Lie groups with its specific methods and ways of thinking on the one hand and complex analysis with all its analytic, algebraic and geometric aspects. More specifically, the author concentrates on the double role of Lie groups in complex analysis, namely, as groups of biholomorphic self-made of certain complex analytic objects on the one hand and as a special class of complex manifolds with an additional strong structure on the other hand. The book starts from the basics of this subject and introduces the reader into many fields of recent research.
Author : Vincenzo Ancona
Publisher : CRC Press
ISBN 13 : 9780824796723
Total Pages : 580 pages
Book Rating : 4.7/5 (967 download)
Download or read book Complex Analysis and Geometry written by Vincenzo Ancona and published by CRC Press. This book was released on 1995-09-27 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a conference held in Trento, Italy, and sponsored by the Centro Internazionale per la Ricera Matematica, this work presents advances in several complex variables and related topics such as transcendental algebraic geometry, infinite dimensional supermanifolds, and foliations. It covers the unfoldings of singularities, Levi foliations, Cauchy-Reimann manifolds, infinite dimensional supermanifolds, conformal structures, algebraic groups, instantons and more.
Author : Torsten Wedhorn
Publisher : Springer
ISBN 13 : 3658106336
Total Pages : 366 pages
Book Rating : 4.6/5 (581 download)
Download or read book Manifolds, Sheaves, and Cohomology written by Torsten Wedhorn and published by Springer. This book was released on 2016-07-25 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.
