Unitary Representations of Reductive Lie Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Representations of Reductive Lie Groups write by David A. Vogan. This book was released on 1987-10-21. Unitary Representations of Reductive Lie Groups available in PDF, EPUB and Kindle. This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.
Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118
Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 write by David A. Vogan Jr.. This book was released on 2016-03-02. Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 available in PDF, EPUB and Kindle. This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.
Unitary Representations of Reductive Lie Groups
Unitary Representations of Reductive Lie Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Representations of Reductive Lie Groups write by David A. Vogan. This book was released on 1987. Unitary Representations of Reductive Lie Groups available in PDF, EPUB and Kindle. This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.
Cohomological Induction and Unitary Representations (PMS-45), Volume 45
Cohomological Induction and Unitary Representations (PMS-45), Volume 45 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cohomological Induction and Unitary Representations (PMS-45), Volume 45 write by Anthony W. Knapp. This book was released on 2016-06-02. Cohomological Induction and Unitary Representations (PMS-45), Volume 45 available in PDF, EPUB and Kindle. 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.
A Construction of Singular Unitary Representations of Reductive Lie Groups
A Construction of Singular Unitary Representations of Reductive Lie Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Construction of Singular Unitary Representations of Reductive Lie Groups write by Pierluigi Möseneder Frajria. This book was released on 1988. A Construction of Singular Unitary Representations of Reductive Lie Groups available in PDF, EPUB and Kindle.
