On the two-parameter quantum supergroups and quantum superplanes

Autor: E.H. Tahri, A El Hassouni
Rok vydání: 1998
Předmět:
Zdroj: Journal of Physics A: Mathematical and General. 31:2065-2074
ISSN: 1361-6447
0305-4470
DOI: 10.1088/0305-4470/31/8/017
Popis: Starting from the assumption that the generators of quantum supergroup are not supercommutatives with the coordinates of quantum superplane instead of usual supercommutativity in the Manin approach, we construct in a natural way the two-parameter quantum supergroup. The virtue of this formulation is that it leads to many probable quantum superplanes associated with a given quantum supergroup. Some interesting examples are presented. As a by-product of this formulation, a correspondence between the one- and two-parameter deformed differential structures on the quantum superplane is presented.
Databáze: OpenAIRE