Cartan calculus on quantum Lie algebras
Conference
·
OSTI ID:10150780
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing examples of differential geometry on quantum spaces we combine an exterior derivative, inner derivations, Lie derivatives, forms and functions au into one big algebra, the ``Cartan Calculus.``
- Research Organization:
- Lawrence Berkeley Lab., CA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 10150780
- Report Number(s):
- LBL--34833; UCB-PTH--93/32; CONF-9309378--1; ON: DE94011794; CNN: GRANT PHY-90-21139
- Country of Publication:
- United States
- Language:
- English
Similar Records
Differential geometry on Hopf algebras and quantum groups
Quantum groups, non-commutative differential geometry and applications
Cartan calculi on the quantum superplane
Thesis/Dissertation
·
Wed Dec 14 23:00:00 EST 1994
·
OSTI ID:89507
Quantum groups, non-commutative differential geometry and applications
Thesis/Dissertation
·
Wed Dec 08 23:00:00 EST 1993
·
OSTI ID:10148553
Cartan calculi on the quantum superplane
Journal Article
·
Tue Aug 15 00:00:00 EDT 2006
· Journal of Mathematical Physics
·
OSTI ID:20860766