Differential geometry of the Lie algebra of the quantum plane
CZECHOSLOVAK JOURNAL OF PHYSICS, cilt.55, sa.4, ss.463-471, 2005 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 4
- Basım Tarihi: 2005
- Doi Numarası: 10.1007/s10582-005-0052-8
- Dergi Adı: CZECHOSLOVAK JOURNAL OF PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.463-471
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
We present a differential calculus on the extension of the quantum plane obtained by considering that the (bosonic) generator x is invertible and by working with polynomials in In x instead of polynomials in x. We construct the quantum Lie algebra associated with this extension and obtain its Hopf algebra structure and its dual Hopf algebra.