# Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras

@inproceedings{Kac1983BombayLO, title={Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras}, author={V. Kac and A. Raina}, year={1983} }

This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite-dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gl∞ of infinite matrices, along with their applications to the theory of… Expand

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