Author : Shari A. Prevost
Publisher : American Mathematical Soc.
Page : 97 pages
File Size : 51,9 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821825273
Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras by Shari A. Prevost Pdf
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.