TY - BOOK ID - 77943238 TI - Lectures on infinite-dimensional Lie algebra PY - 2001 SN - 9786611956356 128195635X 9812810706 9789812810700 9781281956354 9810241283 9810241291 PB - River Edge, N.J. World Scientific DB - UniCat KW - Infinite dimensional Lie algebras. KW - Lie algebras. KW - Algebras, Lie KW - Algebra, Abstract KW - Algebras, Linear KW - Lie groups KW - Lie algebras KW - Infinite dimensional Lie algebras KW - 512.812 KW - 517.986.5 KW - 517.986.5 Infinite-dimensional representations of Lie algebras KW - Infinite-dimensional representations of Lie algebras KW - 512.812 General Lie group theory. Properties, structure, generalizations. Lie groups and Lie algebras KW - General Lie group theory. Properties, structure, generalizations. Lie groups and Lie algebras KW - Algèbres de Lie de dimension infinie KW - Algèbres de Lie UR - https://www.unicat.be/uniCat?func=search&query=sysid:77943238 AB - The representation theory of affine Lie algebras has been developed in close connection with various areas of mathematics and mathematical physics in the last two decades. There are three excellent books on it, written by Victor G. Kac. This book begins with a survey and review of the material treated in Kac's books. In particular, modular invariance and conformal invariance are explained in more detail. The book then goes further, dealing with some of the recent topics involving the representation theory of affine Lie algebras. Since these topics are important not only in themselves but also in their application to some areas of mathematics and mathematical physics, the book expounds them with examples and detailed calculations. ER -