Unitary Representations of Noncompact Quantum Groups at Roots of Unity
| dc.creator | Steinacker, Harold | |
| dc.date | 1999-07-05 | |
| dc.date | 2000-12-13 | |
| dc.date.accessioned | 2026-07-07T05:29:47Z | |
| dc.date.available | 2026-07-07T05:29:47Z | |
| dc.description | Noncompact forms of the Drinfeld-Jimbo quantum groups U_q(g) with (H_i)* = H_i, (X_i^{+-})* = s_i X_i^{-+} for s_i= +-1 are studied at roots of unity. This covers g = so(n,2p), su(n,p), so*(2l), sp(n,p), sp(l,R), and exceptional cases. Finite-dimensional unitary representations are found for all these forms, for even roots of unity. Their classical symmetry induced by the Frobenius-map is determined, and the meaning of the extra quasi-classical generators appearing at even roots of unity is clarified. The unitary highest weight modules of the classical case are recovered in the limit q -> 1. | |
| dc.description | 23 pages, LaTeX. Typos corrected and some explanations added. To appear in Rev. Math. Phys | |
| dc.identifier | https://arxiv.org/abs/math/9907021 | |
| dc.identifier | http://arxiv.org/abs/math/9907021 | |
| dc.identifier | Rev.Math.Phys. 13 (2001) 1035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78773 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Representation Theory | |
| dc.title | Unitary Representations of Noncompact Quantum Groups at Roots of Unity | |
| dc.type | text |