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

Çelik, Salih; Çelik, Sultan; Çene, Erhan

doi:10.1007/s00006-014-0450-8

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

Çelik S., Çelik S., Çene E.

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

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
Open Archive Collection: AVESIS Open Access Collection
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.