Differential geometry of the Lie algebra of the quantum plane
CZECHOSLOVAK JOURNAL OF PHYSICS, vol.55, no.4, pp.463-471, 2005 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 55 Issue: 4
- Publication Date: 2005
- Doi Number: 10.1007/s10582-005-0052-8
- Journal Name: CZECHOSLOVAK JOURNAL OF PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.463-471
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
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.