Search results for "Indefinite orthogonal group"

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A candidate for a noncompact quantum group

1996

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.

Discrete mathematicsPure mathematicsQuantum groupSimple Lie groupUnitary groupStatistical and Nonlinear PhysicsIndefinite orthogonal groupGeneral linear groupCompact quantum groupGroup algebraMathematical PhysicsSpecial unitary groupMathematicsLetters in Mathematical Physics
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