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Calogero-Moser systems and representation theory / Pavel Etingof

Tác giả : Pavel Etingof

Nhà xuất bản : European Mathematical Society

Năm xuất bản : 2007

Nơi xuất bản : Germany

Mô tả vật lý : ix, 92 p. : ill. ; 24 cm

ISBN : 3037190340

Số phân loại : 512.4

Tùng thư : Zurich lectures in advanced mathematics

Chủ đề : 1. Chuỗi số. 2. Liên kết đại số học. 3. Associative algebras. 4. Representations of rings (Algebra). 5. Đại số.

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Tóm tắt :

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. More specifically, these systems and their generalizations turned out to have intrinsic connections with such fields as algebraic geometry (Hilbert schemes of surfaces), representation theory (double affine Hecke algebras, Lie groups, quantum groups), deformation theory (symplectic reflection algebras), homological algebra (Koszul algebras), Poisson geometry, etc. 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, the author gives short introductions to each of the subjects involved and provides a number of exercises. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

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