Nilpotent orbits and finite W-algebras

Mathematics – Representation Theory

Scientific paper

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40 pages, lectures for Ottawa summer school 2009, v2, references added and updated, Introduction clarified, other minor change

Scientific paper

In recent years, the finite W-algebras associated to a semisimple Lie algebra
and its nilpotent element have been studied intensively from different
viewpoints. In this lecture series, we shall present some basic constructions,
connections, and applications of finite W-algebras.

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