A Differential Calculus on the Z(3)-graded Quantum Group GL(q) (2)

ÇELİK S., Bulut F.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.26, no.1, pp.81-96, 2016 (SCI-Expanded) identifier identifier

  • 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.