Conjugacy to Unitary Groups Within the Infinite-dimensional Symplectic Group
Author: Irving Ezra Segal
Publisher:
Published: 1966
Total Pages: 26
ISBN-13:
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Author: Irving Ezra Segal
Publisher:
Published: 1966
Total Pages: 26
ISBN-13:
DOWNLOAD EBOOKAuthor: P.R. Chernoff
Publisher: Springer
Published: 2006-11-15
Total Pages: 165
ISBN-13: 3540372873
DOWNLOAD EBOOKAuthor: Johnny T. Ottesen
Publisher: Springer Science & Business Media
Published: 2008-09-11
Total Pages: 223
ISBN-13: 3540491414
DOWNLOAD EBOOKThe idea of writing this book appeared when I was working on some problems related to representations of physically relevant infinite - mensional groups of operators on physically relevant Hilbert spaces. The considerations were local, reducing the subject to dealing with representations of infinite-dimensional Lie algebras associated with the associated groups. There is a large number of specialized articles and books on parts of this subject, but to our suprise only a few represent the point of view given in this book. Moreover, none of the written material was self-contained. At present, the subject has not reached its final form and active research is still being undertaken. I present this subject of growing importance in a unified manner and by a fairly simple approach. I present a route by which students can absorb and understand the subject, only assuming that the reader is familliar with functional analysis, especially bounded and unbounded operators on Hilbert spaces. Moreover, I assume a little basic knowledge of algebras , Lie algebras, Lie groups, and manifolds- at least the definitions. The contents are presented in detail in the introduction in Chap. The manuscript of this book has been succesfully used by some advanced graduate students at Aarhus University, Denmark, in their "A-exame'. I thank them for comments.
Author:
Publisher:
Published: 1973
Total Pages: 1142
ISBN-13:
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Publisher:
Published: 1994
Total Pages: 768
ISBN-13:
DOWNLOAD EBOOKAuthor: Ralph Abraham
Publisher: CRC Press
Published: 2019-04-24
Total Pages: 849
ISBN-13: 0429689047
DOWNLOAD EBOOKFoundations of Mechanics is a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the two-body problem and three-body problem.
Author:
Publisher:
Published: 1967
Total Pages: 892
ISBN-13:
DOWNLOAD EBOOKAuthor: Karl-Hermann Neeb
Publisher: Springer Science & Business Media
Published: 2010-10-17
Total Pages: 492
ISBN-13: 0817647414
DOWNLOAD EBOOKThis collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups. Contributors: B. Allison, D. Beltiţă, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf.
Author: Vladimir K Dobrev
Publisher: World Scientific
Published: 2000-05-05
Total Pages: 641
ISBN-13: 9814543047
DOWNLOAD EBOOKThis volume gives a representative survey of recent developments in relativistic and non-relativistic quantum theory, which are related to the application of symmetries in their most general sense. The corresponding mathematical notions are centered upon groups, algebras and their generalizations, and are applied in interaction with topology, differential geometry, functional analysis and related fields. Special emphasis is on results in the following areas: quantization methods, nonlinear evolution equations, foundation of quantum physics, algebraic quantum field theory, gauge and string theories, quantum information, quantum groups, discrete symmetries.
Author: International Atomic Energy Agency
Publisher:
Published: 1967
Total Pages: 1000
ISBN-13:
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