Induced Representations of Infinite-dimensional Groups, I PDF Download
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Author: Alexander V. Kosyak
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Alexander V. Kosyak
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Alexander V. Kosyak
Publisher:
ISBN: 9783037196816
Category :
Languages : en
Pages :
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Author: Rais Salmanovich Ismagilov
Publisher: American Mathematical Soc.
ISBN: 9780821897683
Category : Mathematics
Languages : en
Pages : 216
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Book Description
This book is devoted to representations of two classes of infinite-dimensional groups: current groups and diffeomorphism groups. The author presents a complete treatment of the subject, including general methods for constructing irreducible representations of infinite-dimensional groups and general results about such representations. He also exhibits deep relations between representations of infinite-dimensional grops and the theory of Fock spaces, the theory of point random processes, and other branches of mathematics.
Author: Raymond C. Fabec
Publisher: CRC Press
ISBN: 1351990217
Category : Mathematics
Languages : en
Pages : 309
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Book Description
Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It presents new and old results in a coherent and natural manner and studies a number of tools useful in various areas of this diversely applied subject. From Borel spaces and selection theorems to Mackey's theory of induction, measures on homogeneous spaces, and the theory of left Hilbert algebras, the author's self-contained treatment allows readers to choose from a wide variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text for those requiring a background in group-operator algebra representation theory, for careful readers, this monograph helps reveal not only the subject's utility, but also its inherent beauty.
Author: Raymond C. Fabec
Publisher: CRC Press
ISBN: 1482285770
Category : Mathematics
Languages : en
Pages : 448
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Book Description
Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It presents new and old results in a coherent and natural manner and studies a number of tools useful in various areas of this diversely applied subject. From Borel spaces and selection theorems to Mackey's theory of induction, measures on homogeneous spaces, and the theory of left Hilbert algebras, the author's self-contained treatment allows readers to choose from a wide variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text for those requiring a background in group-operator algebra representation theory, for careful readers, this monograph helps reveal not only the subject's utility, but also its inherent beauty.
Author: John C. Baez
Publisher: American Mathematical Soc.
ISBN: 0821872842
Category : Mathematics
Languages : en
Pages : 133
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Book Description
Just as groups can have representations on vector spaces, 2-groups have representations on 2-vector spaces, but Lie 2-groups typically have few representations on the finite-dimensional 2-vector spaces introduced by Kapranov and Voevodsky. Therefore, Crane, Sheppeard, and Yetter introduced certain infinite-dimensional 2-vector spaces, called measurable categories, to study infinite-dimensional representations of certain Lie 2-groups, and German and North American mathematicians continue that work here. After introductory matters, they cover representations of 2-groups, and measurable categories, representations on measurable categories. There is no index. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com).
Author: Pavel I. Etingof
Publisher: American Mathematical Soc.
ISBN: 0821853511
Category : Mathematics
Languages : en
Pages : 240
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Book Description
Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Author: J. M. G. Fell
Publisher: Springer
ISBN: 3540699775
Category : Mathematics
Languages : en
Pages : 354
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Author: Karl-Hermann Neeb
Publisher:
ISBN:
Category :
Languages : en
Pages : 51
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Author: Eberhard Kaniuth
Publisher: Cambridge University Press
ISBN: 052176226X
Category : Mathematics
Languages : en
Pages : 359
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Book Description
A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.
