Induced representations of locally compact groups
(eBook)
Author
Contributors
Published
Cambridge ; New York : Cambridge University Press, 2013.
Physical Desc
xiii, 343 pages : ill.
Status
More Details
Format
eBook
Language
English
Notes
Bibliography
Includes bibliographical references and index.
Description
"Locally compact groups arise in many diverse areas of mathematics, the physical sciences, and engineering and the presence of the group is usually felt through unitary representations of the group. This observation underlies the importance of understanding such representations and how they may be constructed, combined, or decomposed. Of particular importance are the irreducible unitary representations. In the middle of the last century, G.W. Mackey initiated a program to develop a systematic method for identifying all the irreducible unitary representations of a given locally compact group G. We denote the set of all unitary equivalence classes of irreducible unitary representations of G by G. Mackey's methods are only effective when G has certain restrictive structural characteristics; nevertheless, time has shown that many of the groups that arise in important problems are appropriate for Mackey's approach. The program Mackey initiated received contributions from many researchers with some of the most substantial advances made by R.J. Blattner and J.M.G. Fell. Fell'swork is particularly important in studying Gas a topological space. At the core of this program is the inducing construction, which is a method of building a unitary representation of a group from a representation of a subgroup"--,Provided by publisher.
Reproduction
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
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Citations
APA Citation, 7th Edition (style guide)
Kaniuth, E., & Taylor, K. F. (2013). Induced representations of locally compact groups . Cambridge University Press.
Chicago / Turabian - Author Date Citation, 17th Edition (style guide)Kaniuth, Eberhard and Keith F. Taylor. 2013. Induced Representations of Locally Compact Groups. Cambridge University Press.
Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)Kaniuth, Eberhard and Keith F. Taylor. Induced Representations of Locally Compact Groups Cambridge University Press, 2013.
MLA Citation, 9th Edition (style guide)Kaniuth, Eberhard., and Keith F. Taylor. Induced Representations of Locally Compact Groups Cambridge University Press, 2013.
Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.
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Grouped Work ID
a3271546-d7b0-93ef-2bea-a99c16c9a5e1-eng
Grouping Information
Grouped Work ID | a3271546-d7b0-93ef-2bea-a99c16c9a5e1-eng |
---|---|
Full title | induced representations of locally compact groups |
Author | kaniuth eberhard |
Grouping Category | book |
Last Update | 2022-06-07 21:23:19PM |
Last Indexed | 2024-05-18 04:48:10AM |
Book Cover Information
Image Source | default |
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First Loaded | Jun 25, 2023 |
Last Used | May 19, 2024 |
Marc Record
First Detected | Aug 09, 2021 01:40:31 PM |
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Last File Modification Time | Nov 22, 2021 09:37:41 AM |
MARC Record
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100 | 1 | |a Kaniuth, Eberhard. | |
245 | 1 | 0 | |a Induced representations of locally compact groups|h [eBook] /|c Eberhard Kaniuth, Keith F. Taylor. |
260 | |a Cambridge ;|a New York :|b Cambridge University Press,|c 2013. | ||
300 | |a xiii, 343 p. :|b ill. | ||
440 | 0 | |a Cambridge tracts in mathematics ;|v 197 | |
504 | |a Includes bibliographical references and index. | ||
505 | 8 | |a Machine generated contents note: 1. Basics; 2. Induced representations; 3. The imprimitivity theorem; 4. Mackey analysis; 5. Topologies on dual spaces; 6. Topological Frobenius properties; 7. Further applications. | |
520 | |a "Locally compact groups arise in many diverse areas of mathematics, the physical sciences, and engineering and the presence of the group is usually felt through unitary representations of the group. This observation underlies the importance of understanding such representations and how they may be constructed, combined, or decomposed. Of particular importance are the irreducible unitary representations. In the middle of the last century, G.W. Mackey initiated a program to develop a systematic method for identifying all the irreducible unitary representations of a given locally compact group G. We denote the set of all unitary equivalence classes of irreducible unitary representations of G by G. Mackey's methods are only effective when G has certain restrictive structural characteristics; nevertheless, time has shown that many of the groups that arise in important problems are appropriate for Mackey's approach. The program Mackey initiated received contributions from many researchers with some of the most substantial advances made by R.J. Blattner and J.M.G. Fell. Fell'swork is particularly important in studying Gas a topological space. At the core of this program is the inducing construction, which is a method of building a unitary representation of a group from a representation of a subgroup"--|c Provided by publisher. | ||
533 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
650 | 0 | |a Locally compact groups. | |
650 | 0 | |a Topological spaces. | |
650 | 0 | |a Representations of groups. | |
650 | 0 | |a Mathematical analysis. | |
655 | 4 | |a Electronic books. | |
700 | 1 | |a Taylor, Keith F.,|d 1950- | |
710 | 2 | |a ProQuest (Firm) | |
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856 | 4 | 0 | |u http://ebookcentral.proquest.com/lib/yln-ebooks/detail.action?docID=1057465|x Yavapai Library Network|y All other users click here to access |
945 | |a E-Book |