Z3-graded Cartan calculus on O( C1|1|1 q )
TURKISH JOURNAL OF MATHEMATICS, cilt.50, sa.1, 2026 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.55730/1300-0098.3638
- Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
After a brief introduction of the basic concepts of Z3-grading, the paper continues by introducing Z3-graded differential calculus and Z3-graded Cartan calculus. Then, using a matrix R which is a solution of the Yang-Baxter equation, a new Z3-graded quantum group and a Z3-graded quantum space are introduced. The scheme of the Z3-graded differential calculus developed on the algebra of functions on this quantum space is extended to the Z3-graded Cartan calculus and all the results obtained are formulated using the matrix R.