Parabolic twists for algebras sl(n)
| dc.creator | Lyakhovsky, V. D. | |
| dc.date | 2005-10-14 | |
| dc.date | 2005-10-28 | |
| dc.date.accessioned | 2026-07-07T06:47:29Z | |
| dc.date.available | 2026-07-07T06:47:29Z | |
| dc.description | New solutions of twist equations for universal enveloping algebras U(A_{n-1}) are found. They can be presented as products of full chains F_c of extended Jordanian twists, Abelian factors (rotations) F^R and sets of quasi-Jordanian twists F^J. The latter are the generalizations of Jordanian twists (with 2-dimensional Borel carrier b^2) for special deformed extensions of the Hopf algebra U(b^2). The carrier subalgebra g_P for the composition of these three twists is a nonminimal parabolic subalgebra in sl(n). The parabolic twisting elements F_P are obtained in the explicit form. The details of the construction are illustrated for the examples n=4 and n=11. | |
| dc.description | 24 pages, LaTeX2e, Lemma 3 simplified, minor grammatical changes | |
| dc.identifier | https://arxiv.org/abs/math/0510295 | |
| dc.identifier | http://arxiv.org/abs/math/0510295 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103668 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 20G42, 17B37, 81R50 | |
| dc.title | Parabolic twists for algebras sl(n) | |
| dc.type | text |