Highest Weight Representations Of Infinite Dimensional Lie Algebra

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 represent...