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Cohomological Induction and Unitary Representations: 45 (Princeton Mathematical Series, 45) - Tapa dura
Sinopsis
This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated co-homology theories grew up as a result of work by Borel, Weil, Harish-Chandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complex-analysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups.
The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis.
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Acerca del autor
Anthony W. Knapp is Professor of Mathematics at the State University of New York at Stony Brook. David A. Vogan, Jr., is Professor of Mathematics at the Massachusetts Institute of Technology.
De la contraportada
This book offers a systematic treatment - the first in book form - of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real-analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated cohomology theories grew up as a result of work by Borel, Weil, Harish-Chandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complex-analysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups. The book, which is accessible to students beyond their first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle", and four appendices on algebra and analysis.
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Cohomological Induction and Unitary Representations
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Princeton University Press, 1995
ISBN 10: 0691037566
ISBN 13: 9780691037561
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Hardcover. Condición: Very Good. Estado de la sobrecubierta: Very Good. Text is unmarked; pages are bright, though there is a blue smudge mark on the edge of the text block. Binding is tight and square. Dust jacket shows very little wear. International/Priority shipping at cost. 948pp. Nº de ref. del artículo: 068051
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Cohomological Induction and Unitary Representations (PMS-45)
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Princeton University Press, 1995
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ISBN 13: 9780691037561
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Cohomological Induction and Unitary Representations
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ISBN 10: 0691037566
ISBN 13: 9780691037561
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Cohomological Induction and Unitary Representations
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Princeton University Press, Princeton, NJ, 1995
ISBN 10: 0691037566
ISBN 13: 9780691037561
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Hardcover. Condición: Very Good. 1st Edition. 948 pp. Tightly bound. Corners not bumped. Text is free of markings. No ownership markings. Very good dust jacket showing light spine fade. First Edition / First Printing. 1,3,5,7,9,10,8,6,4,2. This copy is smyth sewn. Smyth sewing is a method of bookbinding where groups of folded pages (referred to as signatures) are stitched together using binder thread. Each folded signature is sewn together individually with multiple stitches and then joined with other signatures to create the complete book block. This is the traditional and best method of bookbinding. Nº de ref. del artículo: 031476
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Cohomological Induction and Unitary Representations
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ISBN 10: 0691037566
ISBN 13: 9780691037561
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Cohomological Induction and Unitary Representations (PMS-45)
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ISBN 10: 0691037566
ISBN 13: 9780691037561
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Cohomological Induction and Unitary Representations (PMS-45), Volume 45
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ISBN 13: 9780691037561
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Condición: New. Offers a systematic treatment of the development and use of cohomological induction to construct unitary representations. This book develops the necessary background in representation theory and includes an introductory chapter of motivation, a treatment of the "translation principle"?', and four appendices on algebra and analysis. Series: Princeton Mathematical Series. Num Pages: 968 pages. BIC Classification: PBF; PBPD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 57. Weight in Grams: 1571. . 1995. Hardcover. . . . . Nº de ref. del artículo: V9780691037561
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Gebunden. Condición: New. Offers a systematic treatment of the development and use of cohomological induction to construct unitary representations. This book develops the necessary background in representation theory and includes an introductory chapter of motivation, a treatment of. Nº de ref. del artículo: 594881842
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Cohomological Induction and Unitary Representations
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ISBN 10: 0691037566
ISBN 13: 9780691037561
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