Pointed torsion free modules of affine lie algebras

It is shown that all pointed torsion free modules for affine Lie algebras belong to C (1) n and A (1) n-1 and are the result of the natural construction of tensoring the Laurent polynomials with a torsion free module of the "underlying" simple finite dimensional Lie Algebra. These latter m...

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Veröffentlicht in:	Communications in algebra 1990-01, Vol.18 (10), p.3307-3321
Hauptverfasser:	Britten, D.J., Lemire, F.W., Zorzitto, F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Non-twisted affine algebras Pointed module Torsion free module
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	It is shown that all pointed torsion free modules for affine Lie algebras belong to C (1) n and A (1) n-1 and are the result of the natural construction of tensoring the Laurent polynomials with a torsion free module of the "underlying" simple finite dimensional Lie Algebra. These latter modules have been completely determined by Britten and Lemire [1].
ISSN:	0092-7872 1532-4125
DOI:	10.1080/00927879008824075