A Differential Calculus on Z(3)-Graded Quantum Superspace
ALGEBRAS AND REPRESENTATION THEORY, cilt.19, sa.3, ss.713-730, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 19 Sayı: 3
- Basım Tarihi: 2016
- Doi Numarası: 10.1007/s10468-016-9596-5
- Dergi Adı: ALGEBRAS AND REPRESENTATION THEORY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.713-730
- Anahtar Kelimeler: Z(3)-graded quantum (2+1)-superspace, Z(3)-graded Hopf algebra, Z(3)-graded Lie superalgebra, Dual Hopf algebra, Z(3)-graded quantum supergroup
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
We introduce a Z(3)-graded quantum (2+1)-superspace and define Z(3)-graded Hopf algebra structure on algebra of functions on the Z(3)-graded quantum superspace. We construct a differential calculus on the Z(3)-graded quantum superspace, and obtain the corresponding Z(3)-graded Lie superalgebra. We also find a new Z(3)-graded quantum supergroup which is a symmetry group of this calculus.