6533b86dfe1ef96bd12c976e
RESEARCH PRODUCT
A star-product approach to noncompact Quantum Groups
Georges PinczonFrédéric Bidegainsubject
PhysicsHigh Energy Physics - TheoryPure mathematics[MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]010102 general mathematicsLie groupDuality (optimization)Statistical and Nonlinear Physics16. Peace & justiceHopf algebra01 natural sciences[ MATH.MATH-RT ] Mathematics [math]/Representation Theory [math.RT]Nonlinear systemSimple (abstract algebra)Product (mathematics)Mathematics::Quantum Algebra0103 physical sciencesLie algebraMathematics - Quantum Algebra010307 mathematical physics0101 mathematicsQuantumMathematical PhysicsComputingMilieux_MISCELLANEOUSdescription
Using duality and topological theory of well behaved Hopf algebras (as defined in [2]) we construct star-product models of non compact quantum groups from Drinfeld and Reshetikhin standard deformations of enveloping Hopf algebras of simple Lie algebras. Our star-products act not only on coefficient functions of finite-dimensional representations, but actually on all $C^\infty$ functions, and they exist even for non linear (semi-simple) Lie groups.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-03-01 |