Infinite-dimensional Lie Algebras

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    Infinite-dimensional Lie Algebras












    Contents: Central extensions; The Virasoro algebra; The Heisenberg algebra; Enveloping algebras; A little infinite-dimensional surprise; Hands-on loop and affine algebras; Simple Lie algebras; Kac-Moody Lie algebras; Classification of generalised Cartanmatrices; Dynkin diagrams; Forms, Weyl groups and roots; Root spaces; Affine Lie algebras and Kac-Moody Lie algebras; etc



    http://www.maths.ed.ac.uk/~igordon/LA1.pdf