Differential calculus on quantum Euclidean spheres
Abstract
We study covariant differential calculus on the quantum Euclidean spheres S{_{/q } ^{N1}} which are quantum homogeneous spaces with coactions of the quantum groups O_{ q }( N). First order differential calculi on the quantum Euclidean spheres satisfying a dimension constraint are found and classified: For N≥6, there exist exactly two such calculi one of which is closely related to the classical differential calculus in the commutative case. Higher order differential forms and symmetry are discussed.
 Publication:

Czechoslovak Journal of Physics
 Pub Date:
 November 2000
 DOI:
 10.1023/A:1022850116456
 Bibcode:
 2000CzJPh..50.1379W