Differential Calculi on Z(3)- Graded Grassmann Plane

Çelik, Salih; Çelik, Sultan

doi:10.1007/s00006-016-0754-y

Differential Calculi on Z(3)- Graded Grassmann Plane

Çelik S., Çelik S.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.27, sa.3, ss.2407-2427, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 27 Sayı: 3
Basım Tarihi: 2017
Doi Numarası: 10.1007/s00006-016-0754-y
Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2407-2427
Anahtar Kelimeler: Z(3)-graded Grassmann algebra, Differential calculus, Grassmann-Heisenberg algebra.
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Covariant differential calculi on the Z(3)-graded Grassmann plane are presented. Using the generators and their partial derivatives a Grassmann-Heisenberg algebra is constructed. An R-matrix which satisfies graded Yang-Baxter equation is obtained.