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Calogero-Moser systems and representation theory

Author: P I Etingof
Publisher: Zürich : European Mathematical Society, ©2007.
Series: Zurich lectures in advanced mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Calogero-Moser systems, which were originally discovered by specialists in integrable systems, are currently at the crossroads of many areas of mathematics and within the scope of interests of many mathematicians. The goal of the present lecture notes is to give an introduction to the theory of Calogero-Moser systems, highlighting their interplay with these fields. Since these lectures are designed for non-experts,  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: P I Etingof
ISBN: 9783037190340 3037190345
OCLC Number: 144512595
Description: ix, 92 pages : illustrations ; 24 cm.
Contents: 1. Poisson manifolds and Hamiltonian reduction --
2. Classical mechanics and integrable systems --
3. Deformation theory --
4. Moment maps, Hamiltonian reduction and the Levasseur-Stafford theorem --
5. Quantum mechanics, quantum integrable systems and the Calogero-Moser system --
6. Calogero-Moser systems associated to finite Coxeter groups --
7. The rational Cherednik algebra --
8. Symplectic reflection algebras --
9. Deformation-theoretic interpretation of symplectic reflection algebras --
10. The center of the symplectic reflection algebra --
11. Representation theory of rational Cherednik algebras.
Series Title: Zurich lectures in advanced mathematics.
Responsibility: Pavel Etingof.

Abstract:

"Calogero-Moser systems, which were originally discovered by specialists in integrable systems, are currently at the crossroads of many areas of mathematics and within the scope of interests of many mathematicians. The goal of the present lecture notes is to give an introduction to the theory of Calogero-Moser systems, highlighting their interplay with these fields. Since these lectures are designed for non-experts, we give short introductions to each of the subjects involved, and provide a number of exercises." "The book will be suitable for mathematics graduate students and researchers in the areas of representation theory, noncommutative algebra, algebraic geometry, and related areas."--BOOK JACKET.

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