| Autor: |
Bonechi, F., Giachetti, R., Maciocco, R., Sorace, E., Tarlini, M. |
| Zdroj: |
Letters in Mathematical Physics; Aug1996, Vol. 37 Issue 4, p405-418, 14p |
| Abstrakt: |
We show that bicovariant bimodules as defined by Woronowicz are in one-to-one correspondence with the Drinfeld quantum double representations. We then prove that a differential calculus associated to a bicovariant bimodule of dimension n is connected to the existence of a particular ( n+1)-dimensional representation of the double. An example of bicovariant differential calculus on the nonquasitriangular quantum group E (2) is developed. The construction is studied in terms of Hochschild cohomology and a correspondence between differential calculi and 1-cocycles is proved. Some differences of calculi on quantum and finite groups with respect to Lie groups are stressed. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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