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Irreducible Representations for Toroidal Lie Algebras

✍ Scribed by Stephen Berman; Yuly Billig

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
284 KB
Volume
221
Category
Article
ISSN
0021-8693

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✦ Synopsis

In this work a large number of irreducible representations with finite dimensional weight spaces are constructed for some toroidal Lie algebras. To accomplish this we develop a general theory of ‫ޚ‬ n -graded Lie algebras with polynomial multiplication. We construct modules by the standard inducing procedure and study their irreducible quotients using the vertex operator technics. ᮊ 1999 Academic Press U Both authors gratefully acknowledge support from the Natural Sciences and Engineering Research Council of Canada.

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