𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Integrable representations of affine Lie-algebras

✍ Scribed by Vyjayanthi Chari

Publisher
Springer-Verlag
Year
1986
Tongue
English
Weight
776 KB
Volume
85
Category
Article
ISSN
0020-9910

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Basic Representations for Classical Affi
Basic Representations for Classical Affine Lie Algebras
✍ Mirko Primc πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 342 KB

Presented here is a construction of certain bases of basic representations for classical affine Lie algebras. The starting point is a ‫-ήšβ€¬grading α’„ s α’„ q α’„ q α’„ y1 0 1 of a classical Lie algebra α’„ and the corresponding decomposition α’„ s α’„ q α’„ q ˜˜ỹ 1 0 α’„ of the affine Lie algebra α’„. By using a genera

Complete reducibility of integrable modu
Complete reducibility of integrable modules for the affine Lie (super)algebras
✍ S. Eswara Rao πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 107 KB

We prove complete reducibility for an integrable module for an affine Lie algebra where the canonical central element acts non-trivially. We further prove that integrable modules does not exists for most of the superaffine Lie algebras where the center acts non-trivially.

An Application of Crystal Bases to Repre
An Application of Crystal Bases to Representations of Affine Lie Algebras
✍ M.K. Bos; K.C. Misra πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 665 KB

It has been shown that up to degree shifts any integrable highest weight (or standard) module of level \(k\) for an affine Lie algebra \(g\) can be imbedded in the tensor product of \(k\) copies of level one integrable highest weight modules. When the affine Lie algebra \(g\) is of classical type th