Classical Banach Lie Algebras And Banach Lie Groups Of Operators In Hilbert Space
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Classical Banach Lie Algebras And Banach Lie Groups Of Operators In Hilbert Space
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Author : P. de la Harpe
language : en
Publisher: Springer
Release Date : 2006-11-14
Classical Banach Lie Algebras And Banach Lie Groups Of Operators In Hilbert Space written by P. de la Harpe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Classical Banach Lie Algebras And Banach Lie Groups Of Operators In Hilbert Space
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Author : Luc Illusie
language : en
Publisher:
Release Date : 1972
Classical Banach Lie Algebras And Banach Lie Groups Of Operators In Hilbert Space written by Luc Illusie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebra, Homological categories.
Classical Banach Lie Algebras And Banach Lie Groups Of Operators In Hilbert Space
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Author : Luc Illusie
language : en
Publisher:
Release Date : 1972
Classical Banach Lie Algebras And Banach Lie Groups Of Operators In Hilbert Space written by Luc Illusie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebra, Homological categories.
Classical Banach Lie Algebras And Banach Lie Groups Of Operators In Hilbert Spaces
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Author : Pierre De La Harpe
language : en
Publisher:
Release Date : 1972
Classical Banach Lie Algebras And Banach Lie Groups Of Operators In Hilbert Spaces written by Pierre De La Harpe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Lie Groups And Lie Algebras I
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Author : V.V. Gorbatsevich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Lie Groups And Lie Algebras I written by V.V. Gorbatsevich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
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 "... Both parts are very nicely written and can be strongly recommended." European Mathematical Society
Lie Algebras Of Bounded Operators
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Author : Daniel Beltita
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Lie Algebras Of Bounded Operators written by Daniel Beltita and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on the stage. But the structure of linear maps on such a space is too little understood; for these linear maps one cannot speak about something like the Jordan canonical structure of matrices. Fortunately there exists a large class of linear maps on vector spaces of arbi trary dimension, having some common features with the matrices. We mean the bounded linear operators on a complex Banach space. Certain types of bounded operators (such as the Dunford spectral, Foia§ decomposable, scalar generalized or Colojoara spectral generalized operators) actually even enjoy a kind of Jordan decomposition theorem. One of the aims of the present book is to expound the most important results obtained until now by using bounded operators in the study of Lie algebras.
Infinite Dimensional Lie Groups
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Author : Hideki Omori
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-11-07
Infinite Dimensional Lie Groups written by Hideki Omori and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-07 with categories.
This book develops, from the viewpoint of abstract group theory, a general theory of infinite-dimensional Lie groups involving the implicit function theorem and the Frobenius theorem. Omori treats as infinite-dimensional Lie groups all the real, primitive, infinite transformation groups studied by E. Cartan. The book discusses several noncommutative algebras such as Weyl algebras and algebras of quantum groups and their automorphism groups. The notion of a noncommutative manifold is described, and the deformation quantization of certain algebras is discussed from the viewpoint of Lie algebras. This edition is a revised version of the book of the same title published in Japanese in 1979.
Developments And Retrospectives In Lie Theory
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Author : Geoffrey Mason
language : en
Publisher: Springer
Release Date : 2014-11-12
Developments And Retrospectives In Lie Theory written by Geoffrey Mason and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-12 with Mathematics categories.
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. These Lie theory workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. The contributors have all participated in these Lie theory workshops and include in this volume expository articles which will cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.
Infinite Dimensional Lie Algebras
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Author : Victor G. Kac
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09
Infinite Dimensional Lie Algebras written by Victor G. Kac and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Mathematics categories.
Lie Theory
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Author : Jean-Philippe Anker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lie Theory written by Jean-Philippe Anker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title "Lie Theory," feature survey work and original results by well-established researchers in key areas of semisimple Lie theory. A wide spectrum of topics is treated, with emphasis on the interplay between representation theory and the geometry of adjoint orbits for Lie algebras over fields of possibly finite characteristic, as well as for infinite-dimensional Lie algebras. Also covered is unitary representation theory and branching laws for reductive subgroups, an active part of modern representation theory. Finally, there is a thorough discussion of compactifications of symmetric spaces, and harmonic analysis through a far-reaching generalization of Harish--Chandra's Plancherel formula for semisimple Lie groups. Ideal for graduate students and researchers, "Lie Theory" provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics.