6533b854fe1ef96bd12af1c6
RESEARCH PRODUCT
A candidate for a noncompact quantum group
Frédéric Bidegainsubject
Discrete mathematicsPure mathematicsQuantum groupSimple Lie groupUnitary groupStatistical and Nonlinear PhysicsIndefinite orthogonal groupGeneral linear groupCompact quantum groupGroup algebraMathematical PhysicsSpecial unitary groupMathematicsdescription
A previous letter (Bidegain, F. and Pinczon, G:Lett. Math. Phys.33 (1995), 231–240) established that the star-product approach of a quantum group introduced by Bonneau et al. can be extended to a connected locally compact semisimple real Lie group. The aim of the present Letter is to give an example of what a noncompact quantum group could be. From half of the discrete series ofSL(2,\(\mathbb{R}\)), a new type of quantum group is explicitly constructed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-02-01 | Letters in Mathematical Physics |