A class of bicovariant differential calculi on hopf algebras
Abstract
We introduce a large class of bicovariant differential calculi on any quantum group A, associated to Ad-invariant elements. For example, the deformed trace element on SLq (2) recovers Woronowicz's 4D± calculus. More generally, we obtain a class of differential calculi on each quantum group A(R), based on the theory of the corresponding braided groups B(R). Here R is any regular solution of the QYBE.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- September 1992
- DOI:
- arXiv:
- arXiv:hep-th/9208010
- Bibcode:
- 1992LMaPh..26...67B
- Keywords:
-
- 81R50;
- 16W30;
- 58B30;
- 57M25;
- 05A30;
- High Energy Physics - Theory;
- Mathematics - Quantum Algebra
- E-Print:
- 16 pages