A Differential Calculus on Z(3)-Graded Quantum Superspace

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Çelik S.

ALGEBRAS AND REPRESENTATION THEORY, cilt.19, sa.3, ss.713-730, 2016 (SCI-Expanded) identifier identifier

  • 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
  • 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.