Mathematics – Quantum Algebra
Scientific paper
2003-06-19
Mathematics
Quantum Algebra
30 pages
Scientific paper
In this paper, we re-examine certain integrable modules of Chari-Presslely for an (untwisted) affine Lie algebra $\hat{\g}$ by exploiting basic formal variable techniques. We define and study two categories ${\mathcal{E}}$ and ${\mathcal{C}}$ of $\hat{\g}$-modules using generating functions, where ${\mathcal{E}}$ includes evaluation modules and ${\mathcal{C}}$ unifies highest weight modules, evaluation modules and their tensor product modules, and we classify integrable irreducible $\hat{\g}$-modules in categories ${\mathcal{E}}$ and ${\mathcal{C}}$.
No associations
LandOfFree
On certain categories of modules for affine Lie algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On certain categories of modules for affine Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On certain categories of modules for affine Lie algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-402155