Coset construction for winding subalgebras and applications
| dc.creator | Bouwknegt, Peter | |
| dc.date | 1996-10-10 | |
| dc.date | 1997-03-12 | |
| dc.date.accessioned | 2026-07-07T09:04:57Z | |
| dc.date.available | 2026-07-07T09:04:57Z | |
| dc.description | In this paper we review the coset construction for winding subalgebras of affine Lie algebras. We classify all cosets of central charge $\hat c<1$ and calculate their branching rules. The corresponding character identities give certain `doubling formulae' for the affine characters. We discuss some applications of our construction, in particular we find a simple proof of a crucial identity needed for the computation of the level-2 root multiplicities of the hyperbolic Kac-Moody algebra $E_{10}$. | |
| dc.description | 8 pages. Crucial reference overlooked. Ref added and appropriate changes made, including new title. Old title: `A new coset construction and applications'. Plain TeX with amssym.def | |
| dc.identifier | https://arxiv.org/abs/q-alg/9610013 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9610013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149570 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 17B67, 17B68, 81R10 | |
| dc.title | Coset construction for winding subalgebras and applications | |
| dc.type | text |