Vertex Algebras And Integral Bases For The Enveloping Algebras Of Affine Lie Algebras
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Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras
Author | : Shari A. Prevost |
Publisher | : American Mathematical Soc. |
Total Pages | : 113 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 0821825275 |
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We present a new proof of the identities needed to exhibit an explicit [bold]Z-basis for the universal enveloping algebra associated to an affine Lie algebra. We then use the explicit [bold]Z-bases to extend Borcherds' description, via vertex operator representations, of a [bold]Z-form of the enveloping algebras for the simply-laced affine Lie algebras to the enveloping algebras associated to the unequal root length affine Lie algebras.