Coboundary Lie bialgebras and commutative subalgebras of universal enveloping algebras
| dc.creator | Enriquez, B. | |
| dc.creator | Halbout, G. | |
| dc.date | 2005-03-25 | |
| dc.date.accessioned | 2026-07-07T05:18:31Z | |
| dc.date.available | 2026-07-07T05:18:31Z | |
| dc.description | We solve a functional version of the problem of twist quantization of a coboundary Lie bialgebra (g,r,Z). We derive from this the following results: (a) the formal Poisson manifolds g^* and G^* are isomorphic; (b) we construct a subalgebra of U(g^*), isomorphic to S(g^*)^g. When g can be quantized, we construct a deformation of the morphism S(g^*)^g subset U(g^*). When g is quasitriangular and nondegenerate, we compare our construction with Semenov-Tian-Shansky's construction of a commutative subalgebra of U(g^*). We also show that the canonical derivation of the function ring of G^* is Hamiltonian. | |
| dc.identifier | https://arxiv.org/abs/math/0503608 | |
| dc.identifier | http://arxiv.org/abs/math/0503608 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74684 | |
| dc.subject | Quantum Algebra | |
| dc.title | Coboundary Lie bialgebras and commutative subalgebras of universal enveloping algebras | |
| dc.type | text |