The Orbit Method In Representation Theory
Download The Orbit Method In Representation Theory full books in PDF, epub, and Kindle. Read online free The Orbit Method In Representation Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
The Orbit Method in Geometry and Physics
Author | : Christian Duval,Laurent Guieu,Valentin Ovsienko |
Publsiher | : Springer Science & Business Media |
Total Pages | : 478 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461200291 |
Download The Orbit Method in Geometry and Physics Book in PDF, Epub and Kindle
The orbit method influenced the development of several areas of mathematics in the second half of the 20th century and remains a useful and powerful tool in such areas as Lie theory, representation theory, integrable systems, complex geometry, and mathematical physics. Among the distinguished names associated with the orbit method is that of A.A. Kirillov, whose pioneering paper on nilpotent orbits (1962), places him as the founder of orbit theory. The original research papers in this volume are written by prominent mathematicians and reflect recent achievements in orbit theory and other closely related areas such as harmonic analysis, classical representation theory, Lie superalgebras, Poisson geometry, and quantization. Contributors: A. Alekseev, J. Alev, V. Baranovksy, R. Brylinski, J. Dixmier, S. Evens, D.R. Farkas, V. Ginzburg, V. Gorbounov, P. Grozman, E. Gutkin, A. Joseph, D. Kazhdan, A.A. Kirillov, B. Kostant, D. Leites, F. Malikov, A. Melnikov, P.W. Michor, Y.A. Neretin, A. Okounkov, G. Olshanski, F. Petrov, A. Polishchuk, W. Rossmann, A. Sergeev, V. Schechtman, I. Shchepochkina. The work will be an invaluable reference for researchers in the above mentioned fields, as well as a useful text for graduate seminars and courses.
The Orbit Method in Representation Theory
Author | : Dulfo,Pederson,Vergne |
Publsiher | : Springer Science & Business Media |
Total Pages | : 234 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461244868 |
Download The Orbit Method in Representation Theory Book in PDF, Epub and Kindle
Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book contains the proceedings of a conference held from August 29 to September 2, 1988, at the University of Copenhagen, about "the orbit method in representation theory." It contains ten articles, most of which are original research papers, by well-known mathematicians in the field, and it reflects the fact that the orbit method plays an important role in the representation theory of semisimple Lie groups, solvable Lie groups, and even more general Lie groups, and also in the theory of enveloping algebras.
Lectures on the Orbit Method
Author | : Aleksandr Aleksandrovich Kirillov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 434 |
Release | : 2004 |
Genre | : Lie groups |
ISBN | : 9780821835302 |
Download Lectures on the Orbit Method Book in PDF, Epub and Kindle
Describes the essence of the orbit method for non-experts and gives a detailed exposition of the method. This work can be used as a text for a graduate course, as well as a handbook for non-experts and a reference book for research mathematicians and mathematical physicists.
The Orbit Method in Representation Theory
Author | : Michel Duflo,Niels Vigand Pedersen,Michèle Vergne |
Publsiher | : Unknown |
Total Pages | : 227 |
Release | : 1990-01-01 |
Genre | : Lie algebras |
ISBN | : 3764334746 |
Download The Orbit Method in Representation Theory Book in PDF, Epub and Kindle
Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book contains the proceedings of a conference held from August 29 to September 2, 1988, at the University of Copenhagen, about "the orbit method in representation theory." It contains ten articles, most of which are original research papers, by well-known mathematicians in the field, and it reflects the fact that the orbit method plays an important role in the representation theory of semisimple Lie groups, solvable Lie groups, and even more general Lie groups, and also in the theory of enveloping algebras.
Lectures on Representation Theory
Author | : Jing-Song Huang |
Publsiher | : World Scientific |
Total Pages | : 206 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9810237251 |
Download Lectures on Representation Theory Book in PDF, Epub and Kindle
This book is an expanded version of the lectures given at the Nankai Mathematical Summer School in 1997. It provides an introduction to Lie groups, Lie algebras and their representations as well as introduces some directions of current research for graduate students who have little specialized knowledge in representation theory. It only assumes that the reader has a good knowledge of linear algebra and some basic knowledge of abstract algebra.Parts I-III of the book cover the relatively elementary material of representation theory of finite groups, simple Lie algebras and compact Lie groups. These theories are natural continuation of linear algebra. The last chapter of Part III includes some recent results on extension of Weyl's construction to exceptional groups. Part IV covers some advanced material on infinite-dimensional representations of non-compact groups such as the orbit method, minimal representations and dual pair correspondences, which introduces some directions of the current research in representation theory.
Algebraic and Analytic Methods in Representation Theory
Author | : Anonim |
Publsiher | : Elsevier |
Total Pages | : 343 |
Release | : 1996-09-27 |
Genre | : Mathematics |
ISBN | : 9780080526959 |
Download Algebraic and Analytic Methods in Representation Theory Book in PDF, Epub and Kindle
This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field
The Orbit Method in Representation Theory
Author | : M. Duflo |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 1990 |
Genre | : Electronic Book |
ISBN | : OCLC:1075677323 |
Download The Orbit Method in Representation Theory Book in PDF, Epub and Kindle
Representation Theory of Solvable Lie Groups and Related Topics
Author | : Ali Baklouti,Hidenori Fujiwara,Jean Ludwig |
Publsiher | : Springer Nature |
Total Pages | : 620 |
Release | : 2021-10-08 |
Genre | : Mathematics |
ISBN | : 9783030820442 |
Download Representation Theory of Solvable Lie Groups and Related Topics Book in PDF, Epub and Kindle
The 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.