FRT-duals as Quantum Enveloping Algebras
| dc.creator | Kraehmer, Ulrich | |
| dc.date | 2002-10-14 | |
| dc.date | 2003-05-19 | |
| dc.date.accessioned | 2026-07-07T04:51:55Z | |
| dc.date.available | 2026-07-07T04:51:55Z | |
| dc.description | The Hopf algebra generated by the l-functionals on the quantum double C_q[G] \bowtie C_q[G] is considered, where C_q[G] is the coordinate algebra of a standard quantum group and q is not a root of unity. It is shown to be isomorphic to C_q[G]^op \bowtie U_q(g). This was conjectured by T. Hodges in [Ho]. As an algebra it can be embedded into U_q(g) \otimes U_q(g). Here it is proven that there is no bialgebra structure on U_q(g) \otimes U_q(g), for which this embedding becomes a homomorphism of bialgebras. In particular, it is not an isomorphism. As a preliminary a lemma of [Ho] concerning the structure of l-functionals on C_q[G] is generalized. For the classical groups a certain choice of root vectors is expressed in terms of l-functionals. A formula for their coproduct is derived. | |
| dc.description | Revised version of math.QA/0109157, 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210203 | |
| dc.identifier | http://arxiv.org/abs/math/0210203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65281 | |
| dc.subject | Quantum Algebra | |
| dc.title | FRT-duals as Quantum Enveloping Algebras | |
| dc.type | text |