Differential geometry of GL(p,q)(1 vertical bar 1)
JOURNAL OF MATHEMATICAL PHYSICS, cilt.41, sa.10, ss.6976-6994, 2000 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 10
- Basım Tarihi: 2000
- Doi Numarası: 10.1063/1.1285032
- Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.6976-6994
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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].