A Differential Calculus on the (h, j)-Deformed Z(3)-Graded Superplane

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Çelik S., Çelik S., Çene E.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.24, no.3, pp.643-659, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 3
  • Publication Date: 2014
  • Doi Number: 10.1007/s00006-014-0450-8
  • Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.643-659
  • Yıldız Technical University Affiliated: Yes

Abstract

In this work, Z(3)-graded quantum (h, j)-superplane is introduced with a help of proper singular g matrix and a Z(3)-graded calculus is constructed over this new h-superplane. A new Z(3)-graded (h, j)-deformed quantum (super)group is constructed via the obtained calculus.