The orbit method in geometry and physics in honor of A.A. Kirillov Christian Duval, Laurent Guieu, Valentin Ovsienko, ed. Progress in mathematics 213.

Duval, Christian; Guieu, Laurent; Ovsienko, Valentin

ISBN 10: 0817642323 / ISBN 13: 9780817642327

Published by Boston, Birkhäuser [2003]., 2003

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 22 ORB 9780817642327 Sprache: Englisch Gewicht in Gramm: 1150.

Seller Inventory # 2506907

Bibliographic Details

• Title: The orbit method in geometry and physics in honor of A.A. Kirillov Christian Duval, Laurent Guieu, Valentin Ovsienko, ed. Progress in mathematics 213.
• Publisher: Boston, Birkhäuser [2003].
• Publication Date: 2003
• Language: English
• ISBN 10: 0817642323
• ISBN 13: 9780817642327
• Binding: Hardcover
• Weight: 1150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

The volume is dedicated to AA. Kirillov and emerged from an international con­ ference which was held in Luminy, Marseille, in December 2000, on the occasion 6 of Alexandre Alexandrovitch's 2 th birthday. The conference was devoted to the orbit method in representation theory, an important subject that influenced the de­ velopment of mathematics in the second half of the XXth century. Among the famous names related to this branch of mathematics, the name of AA Kirillov certainly holds a distinguished place, as the inventor and founder of the orbit method. The research articles in this volume are an outgrowth of the Kirillov Fest and they illustrate the most recent achievements in the orbit method and other areas closely related to the scientific interests of AA Kirillov. The orbit method has come to mean a method for obtaining the representations of Lie groups. It was successfully applied by Kirillov to obtain the unitary rep­ resentation theory of nilpotent Lie groups, and at the end of this famous 1962 paper, it was suggested that the method may be applicable to other Lie groups as well. Over the years, the orbit method has helped to link harmonic analysis (the theory of unitary representations of Lie groups) with differential geometry (the symplectic geometry of homogeneous spaces). This theory reinvigorated many classical domains of mathematics, such as representation theory, integrable sys­ tems, complex algebraic geometry. It is now a useful and powerful tool in all of these areas.

Review

"...the volume might be useful to a large number of potential readers interested in various fields, like representation theory of Lie groups, symplectic geometry, differential equations, combinatorics, etc. It is noteworthy that the history of mathematics can also be added to this list of topics, due to the nice article authored by J. Dixmier."

―Romanian Journal of Pure and Appl. Math.