Differential Calculi on Z(3)- Graded Grassmann Plane
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.27, no.3, pp.2407-2427, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 27 Issue: 3
- Publication Date: 2017
- Doi Number: 10.1007/s00006-016-0754-y
- Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.2407-2427
- Keywords: Z(3)-graded Grassmann algebra, Differential calculus, Grassmann-Heisenberg algebra.
- Yıldız Technical University Affiliated: Yes
Abstract
Covariant differential calculi on the Z(3)-graded Grassmann plane are presented. Using the generators and their partial derivatives a Grassmann-Heisenberg algebra is constructed. An R-matrix which satisfies graded Yang-Baxter equation is obtained.