Unitary Representation Theory for Solvable Lie Groups
Author: Jonathan Paul Brezin
Publisher: American Mathematical Soc.
Published: 1968
Total Pages: 132
ISBN-13: 0821812793
DOWNLOAD EBOOKRead and Download eBook Full
Author: Jonathan Paul Brezin
Publisher: American Mathematical Soc.
Published: 1968
Total Pages: 132
ISBN-13: 0821812793
DOWNLOAD EBOOKAuthor: Louis Auslander
Publisher: American Mathematical Soc.
Published: 1966
Total Pages: 208
ISBN-13: 0821812629
DOWNLOAD EBOOKAuthor: Ali Baklouti
Publisher: Springer Nature
Published: 2021-10-08
Total Pages: 620
ISBN-13: 3030820440
DOWNLOAD EBOOKThe purpose of the book is to discuss the latest advances in the theory of unitary representations and harmonic analysis for solvable Lie groups. The orbit method created by Kirillov is the most powerful tool to build the ground frame of these theories. Many problems are studied in the nilpotent case, but several obstacles arise when encompassing exponentially solvable settings. The book offers the most recent solutions to a number of open questions that arose over the last decades, presents the newest related results, and offers an alluring platform for progressing in this research area. The book is unique in the literature for which the readership extends to graduate students, researchers, and beginners in the fields of harmonic analysis on solvable homogeneous spaces.
Author: Didier Arnal
Publisher: Cambridge University Press
Published: 2020-04-16
Total Pages: 463
ISBN-13: 1108428096
DOWNLOAD EBOOKA complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.
Author: Louis Auslander
Publisher:
Published: 1966
Total Pages: 199
ISBN-13:
DOWNLOAD EBOOKAuthor: Jonathan Brezin
Publisher:
Published: 1968
Total Pages: 122
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1971
Total Pages: 152
ISBN-13:
DOWNLOAD EBOOKAuthor: David A. Vogan
Publisher: Princeton University Press
Published: 1987-10-21
Total Pages: 324
ISBN-13: 9780691084824
DOWNLOAD EBOOKThis 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.
Author: Didier Arnal
Publisher: Cambridge University Press
Published: 2020-04-08
Total Pages: 464
ISBN-13: 1108651933
DOWNLOAD EBOOKThe theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. Covering a range of topics from stratification methods for linear solvable actions in a finite-dimensional vector space, to complete proofs of essential elements of Mackey theory and a unified development of the main features of the orbit method for solvable Lie groups, the authors provide both well-known and new examples, with a focus on those relevant to contemporary applications. Clear explanations of the basic theory make this an invaluable reference guide for graduate students as well as researchers.
Author:
Publisher:
Published: 1968-12-30
Total Pages: 122
ISBN-13: 9780821812792
DOWNLOAD EBOOK