Differential geometry of GL(p,q)(1 vertical bar 1)
JOURNAL OF MATHEMATICAL PHYSICS, vol.41, no.10, pp.6976-6994, 2000 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 41 Issue: 10
- Publication Date: 2000
- Doi Number: 10.1063/1.1285032
- Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.6976-6994
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
We introduce a construction of the differential calculus on the quantum supergroup GL(p,q)(1 parallel to 1). We obtain two differential calculi, respectively, associated with the left and the right Cartan-Maurer one-forms. We also obtain the quantum superalgebra of GL(p,q)(1 parallel to 1). Although all of the structures we obtain are derived without an R matrix, they nevertheless can be expressed using an R matrix. (C) 2000 American Institute of Physics. [S0022-2488(99)04910-5].