6533b85bfe1ef96bd12ba0f0
RESEARCH PRODUCT
The hidden group structure of quantum groups: strong duality, rigidity and preferred deformations
Murray GerstenhaberMoshé FlatoPhilippe BonneauGeorges Pinczonsubject
Classical groupPure mathematicsQuantum groupDeformation theoryLie groupStatistical and Nonlinear PhysicsHopf algebra17B37Algebra81R50Compact groupMathematics::Quantum AlgebraStrong dualityDual polyhedron16W30Mathematical PhysicsMathematicsdescription
A notion of well-behaved Hopf algebra is introduced; reflexivity (for strong duality) between Hopf algebras of Drinfeld-type and their duals, algebras of coefficients of compact semi-simple groups, is proved. A hidden classical group structure is clearly indicated for all generic models of quantum groups. Moyal-product-like deformations are naturally found for all FRT-models on coefficients andC∞-functions. Strong rigidity (H bi 2 ={0}) under deformations in the category of bialgebras is proved and consequences are deduced.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-03-01 |