On a class of skew classical r-matrices with large carrier
| dc.creator | Lyakhovsky, Vladimir D. | |
| dc.date | 2004-10-22 | |
| dc.date.accessioned | 2026-07-07T05:13:37Z | |
| dc.date.available | 2026-07-07T05:13:37Z | |
| dc.description | Classical r-matrices with carriers g_c containing the Borel subalgebra b(+,g) of simple Lie algebra g are studied. Using the graphycal presentation of the dual Lie algebra g#(r) we show that such solutions of the CYBE always exist. To obtain the explicit form of these r-matrices we find the dual coordinates in which the adjoint action of g_c can be reduced. This gives us the detailed structure of the Jordanian r-matrices that are the candidates for enlarging the initial full chain r-matrix. We search the desired solution in the factorized form. This leads to the unique transformation: the initial chain is to be substituted by a special kind of peripheric r-matrice. To illustrate the method we consider the case of g=sl(11) in full details. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410486 | |
| dc.identifier | http://arxiv.org/abs/math/0410486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72971 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | @0G42; 17B37; 81R50 | |
| dc.title | On a class of skew classical r-matrices with large carrier | |
| dc.type | text |