A Differential Calculus on the Z(3)-graded Quantum Group GL(q) (2)
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.26, no.1, pp.81-96, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 26 Issue: 1
- Publication Date: 2016
- Doi Number: 10.1007/s00006-015-0586-1
- Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.81-96
- Keywords: Z(3)-graded quantum plane, Z(3)-graded dual quantum plane, Z(3)-graded quantum group, Hopf algebra, quantum Lie algebra, GEOMETRY
- Yıldız Technical University Affiliated: Yes
Abstract
In this work, we introduce Z(3)-graded quantum group GL with the help of Z(3)-graded quantum plane and a Z(3)-graded bicovariant differential calculus on the Z(3)-graded quantum group GL (q) (2). The corresponding Z(3)-graded quantum Lie superalgebra is obtained.