The Principal SO(1,2) Subalgebra of a Hyperbolic Kac Moody Algebra
| dc.creator | Nicolai, H. | |
| dc.creator | Olive, D. I. | |
| dc.date | 2001-07-18 | |
| dc.date | 2001-09-19 | |
| dc.date.accessioned | 2026-07-07T04:11:59Z | |
| dc.date.available | 2026-07-07T04:11:59Z | |
| dc.description | The analog of the principal SO(3) subalgebra of a finite dimensional simple Lie algebra can be defined for any hyperbolic Kac Moody algebra g(A) associated with a symmetrizable Cartan matrix A, and coincides with the non-compact group SO(1,2). We exhibit the decomposition of g(A) into representations of SO(1,2); with the exception of the adjoint SO(1,2) algebra itself, all of these representations are unitary. We compute the Casimir eigenvalues; the associated ``exponents'' are complex and non-integer. | |
| dc.description | 13 pages, Latex. Version to be published in Letters in Mathematical Physics | |
| dc.identifier | https://arxiv.org/abs/hep-th/0107146 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0107146 | |
| dc.identifier | Lett.Math.Phys. 58 (2001) 141-152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50799 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Principal SO(1,2) Subalgebra of a Hyperbolic Kac Moody Algebra | |
| dc.type | text |