The Orbit Method in Geometry and Physics is popular PDF and ePub book, written by Aleksandr Aleksandrovich Kirillov in 2003, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Orbit Method in Geometry and Physics can be Read Online from any device for your convenience.
The Orbit Method in Geometry and Physics Book PDF Summary
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.
Detail Book of The Orbit Method in Geometry and Physics PDF
- Author : Aleksandr Aleksandrovich Kirillov
- Release : 01 October 2024
- Publisher : Birkhauser
- ISBN : UCSD:31822033075425
- Genre : Mathematics
- Total Page : 496 pages
- Language : English
- PDF File Size : 14,9 Mb
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