✦ LIBER ✦
Irreducible Representations of Witten's Deformations ofU(sl2)
✍ Scribed by Rajesh S. Kulkarni
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 191 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
Using E. Witten's approach based on duality in conformal field theory, one can Ž . Ž obtain a 7-parameter family of deformations of U sl called the ''Witten's 2 . Ž . Deformations'' . Le Bruyn singled out a subfamily called ''conformal sl algebras'' 2 and studied their finite dimensional representations. Here we consider all of Witten's deformations. We compute the left spectrum of these algebras and thereby classify irreducible representations for generic values of parameters and finite dimensional representations in certain ''roots of unity'' cases.