Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras PDF Download

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Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras

Vertex Algebras and Integral Bases for the Enveloping Algebras of Affine Lie Algebras PDF Author: Shari A. Prevost
Publisher: American Mathematical Soc.
ISBN: 0821825275
Category : Mathematics
Languages : en
Pages : 113

Book 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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