KAC-MOODY ALGEBRAS (PhD, Wakimoto)

Lecture Topic : (Pure Math) KAC-MOODY ALGEBRAS (PhD, Wakimoto)

Prerequisites : Lie Algebras (M2); Lie Groups (M2);

Recommended Text(s) :

“Lectures on Infinite-Dimensional Lie Algebra”, Minoru Wakimoto, World Scientific, 2001.

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Lectures and Links :

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Lecture 1  (link)

Ch.1   Preliminaries on Affine Lie Algebras

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Lecture 2  (link)

Ch.2   Characters of Integrable Representations

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Lecture 3  (link)

Ch.3   Principal Admissible Weights

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Lecture 4  (link)

Ch.4   Residue of Principal Admissible Characters

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Lecture 5  (link)

Ch.5   Characters of Affine Orbifolds

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Lecture 6  (link)

Ch.6   Operator Calculus

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Lecture 7  (link)

Ch.7   Branching Functions

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Lecture 8  (link)

Ch.8    W-Algebras

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Lecture 9  (link)

Ch.9   Vertex Representations for Affine Lie Algebras

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Lecture 10  (link)

Ch.10   Soliton Equations

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