✦ LIBER ✦
Highest weight representations of Euclidean Kac-Moody algebras spanned by the principal subalgebra action
✍ Scribed by M. Ben Ammar; M. Selmi
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 382 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
✦ Synopsis
The aim of this Letter is to characterize the representations of Euclidean KaY-Moody with highest weight, spanned by the principal subalgebra action on a highest-weight vector.
We conjecture that, modulo the Dynkin diagram automorphisms, only the basic representations have this property. This is proved for A~ ~, D~ ~), and A[ 2).