Coadjoint Orbits for Double Loop Groups
Author | : Othmar Stehlik |
Publisher | : |
Total Pages | : 70 |
Release | : 2004 |
Genre | : Lie groups |
ISBN | : |
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Author | : Othmar Stehlik |
Publisher | : |
Total Pages | : 70 |
Release | : 2004 |
Genre | : Lie groups |
ISBN | : |
Author | : Boris Khesin |
Publisher | : Springer Science & Business Media |
Total Pages | : 304 |
Release | : 2008-09-28 |
Genre | : Mathematics |
ISBN | : 3540772634 |
This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
Author | : Washington Taylor |
Publisher | : |
Total Pages | : 332 |
Release | : 1993 |
Genre | : |
ISBN | : |
Author | : Percy Deift |
Publisher | : American Mathematical Soc. |
Total Pages | : 114 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 0821825402 |
The authors show how to interpret recent results of Moser and Veselov on discrete versions of a class of classical integrable systems, in terms of a loop group framework. In this framework the discrete systems appear as time-one maps of integrable Hamiltonian flows. Earlier results of Moser on isospectral deformations of rank 2 extensions of a fixed matrix, can also be incorporated into their scheme.
Author | : Edward Frenkel |
Publisher | : Cambridge University Press |
Total Pages | : 5 |
Release | : 2007-06-28 |
Genre | : Mathematics |
ISBN | : 0521854431 |
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Author | : Aleksandr Aleksandrovich Kirillov |
Publisher | : American Mathematical Soc. |
Total Pages | : 434 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 0821835300 |
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.
Author | : Pavel Etingof |
Publisher | : American Mathematical Soc. |
Total Pages | : 384 |
Release | : 2014-03-11 |
Genre | : Mathematics |
ISBN | : 0821891707 |
This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor of Igor Frenkel's 60th birthday. The aim of the conference was to present current progress on the following (interrelated) topics: vertex operator algebras and chiral algebras, conformal field theory, the (geometric) Langlands program, affine Lie algebras, Kac-Moody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and K-theory, geometric representation theory, categorification, higher-dimensional Kac-Moody theory, integrable systems, quiver varieties, representations of real and -adic groups, and quantum gauge theories. The papers in this volume present representation theory connections to numerous other subjects, as well as some of the most recent advances in representation theory, including those which occurred thanks to the application of techniques in other areas of mathematics, and of ideas of quantum field theory and string theory.
Author | : Valérie Hudon |
Publisher | : |
Total Pages | : 0 |
Release | : 2009 |
Genre | : |
ISBN | : |
The first main objective of this thesis is to study the orbit structure of the (2 + 1)-Poincare group R2,1 [Special characters omitted.] 2,1 × SO (2,1) by obtaining an explicit expression for the coadjoint action. From there, we compute and classify the coadjoint orbits. We obtain a degenerate orbit, the upper and lower sheet of the two-sheet hyperboloid, the upper and lower cone and the one-sheet hyperboloid. They appear as two-dimensional coadjoint orbits and, with their cotangent planes, as four-dimensional coadjoint orbits. We also confirm a link between the four-dimensional coadjoint orbits and the orbits of the action of SO (2, 1) on the dual of [Special characters omitted.] 2,1 . The second main objective of this thesis is to use the information obtained about the structure to induce a representation and build the coherent states on two of the coadjoint orbits. We obtain coherent states on the hyperboloid for the principal section. The Galilean and the affine sections only allow us to get frames. On the cone, we obtain a family of coherent states for a generalized principal section and a frame for the basic section.
Author | : Israel Gohberg |
Publisher | : Birkhäuser |
Total Pages | : 227 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034880030 |
This volume comprises the specially prepared lecture notes of a a Summer School on "Factorization and Integrable Systems" held in September 2000 at the University of Algarve in Portugal. The main aim of the school was to review the modern factorization theory and its application to classical and quantum integrable systems. The program consisted of a number of short courses given by leading experts in the field.
Author | : Patrick Björn Villa |
Publisher | : |
Total Pages | : 0 |
Release | : 2015 |
Genre | : |
ISBN | : |