By A. A. Kirillov (auth.), A. A. Kirillov (eds.)
Part I of this booklet is a quick evaluation of the classical a part of illustration concept. the most chapters of illustration conception are mentioned: representations of finite and compact teams, finite- and infinite-dimensional representations of Lie teams. it's a standard characteristic of this survey that the constitution of the idea is thoroughly uncovered - the reader can simply see the essence of the speculation with out being beaten by way of information. the ultimate bankruptcy is dedicated to the tactic of orbits for various varieties of teams. half II offers with illustration of Virasoro and Kac-Moody algebra. the second one a part of the ebook bargains with representations of Virasoro and Kac-Moody algebra. The wealth of contemporary effects on representations of infinite-dimensional teams is presented.
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