This is often the 3rd, considerably revised version of this significant monograph. The publication is anxious with Kac-Moody algebras, a specific category of infinite-dimensional Lie algebras, and their representations. it's in response to classes given over a few years at MIT and in Paris, and is satisfactorily self-contained and distinct for use for graduate classes. each one bankruptcy starts off with a motivating dialogue and ends with a suite of workouts, with tricks to the tougher difficulties.
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