Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras
- ISBN-10
- 0821825275
- ISBN-13
- 9780821825273
- Category
- Mathematics
- Pages
- 97
- Language
- English
- Published
- 1992
- Publisher
- American Mathematical Soc.
- Author
- Shari A. Prevost
Description
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.
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