Infinite-Dimensional Lie Algebras


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This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. The main subjects of the book are the structure (real and imaginary root systems) of and the character formula for Kac-Moody superalgebras, which is explained in a very general setting. Only elementary linear algebra and group theory are assumed. Also covered is modular property and asymptotic ...

Infinite-Dimensional Lie Algebras 2001, American Mathematical Society(RI)

ISBN-13: 9780821826546