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Uedu Open / Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics
18.735

Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical Physics

Prof. Pavel Etingof | Fall 2009
Science & Math Mathematics Algebra and Number Theory Linear Algebra Topology and Geometry
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CC BY-NC-SA 4.0
課程簡介
Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts: integrable systems (Calogero-Moser and Ruijsenaars models), algebraic geometry (Hilbert schemes), orthogonal polynomials, Lie theory, quantum groups, etc. In this course we will review the basic theory of DAHA and their representations, emphasizing their connections with other subjects and open problems.
課程資訊
來源MIT 開放式課程
科系Mathematics
語言English
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