A Quantum Deformation of Invariants of Higher Binary Forms
| dc.creator | Leitenberger, Frank | |
| dc.date | 2005-09-28 | |
| dc.date.accessioned | 2026-07-07T06:19:43Z | |
| dc.date.available | 2026-07-07T06:19:43Z | |
| dc.description | We use the theory of the quantum group $U_q(gl(2,\RR))$ in order to develop a quantum theory of invariants and show a decomposition of invariants into a Gordan-Capelli series. Higher binary forms are introduced on the basis of braided algebras. We define quantised invariants and give basic examples. We show that the symbolic method of Clebsch and Gordan works also in the quantised case. We discuss the deformed discriminant of the quadratic and the cubic form, the deformed invariants $I_1$, $I_2$ of the quartic form and further invariants without a classical analog. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509677 | |
| dc.identifier | http://arxiv.org/abs/math/0509677 | |
| dc.identifier | J. Algebra 222, No.1, 82-128 (1999) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95120 | |
| dc.subject | Quantum Algebra | |
| dc.title | A Quantum Deformation of Invariants of Higher Binary Forms | |
| dc.type | text |