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, ...
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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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Add this copy of Cohomological Induction and Unitary Representations to cart. $75.00, very good condition, Sold by Munster & Company rated 5.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1995 by Princeton University Press.
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Very Good in Very Good jacket. Princeton, New Jersey: Princeton University Press, 1995. xvii, 948 pp. 24.5 x 16.5 cm. Terra cotta colored cloth covered boards with gilt titling to spine, in a glossy dustjacket printed in terra cotta with white titling. Some light sunning to spine of jacket, which is protected in a mylar cover. Slight bump to head of spine of book. Some very faint smudges to head of text block. Interior is clean and unmarked. Binding firm. Due to the size and weight of this book, additional postage may be required for expedtied and international orders. First Edition. Hard Cover. Very Good/Very Good.
Add this copy of Cohomological Induction and Unitary Representations to cart. $75.00, very good condition, Sold by Grey Matter Books rated 4.0 out of 5 stars, ships from Hadley, MA, UNITED STATES, published 1995 by Princeton University Press.
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Very Good in Very Good jacket. 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.
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UsedVeryGood. Hardcover; light fading, light shelf wear to exterior; otherwise in very go od condition with clean text, firm binding. Dust jacket, light fading, ligh t shelf wear.
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