Z3-graded Cartan calculus on O( C1|1|1 q )

ÇELİK S., ÇELİK S.

TURKISH JOURNAL OF MATHEMATICS, vol.50, no.1, 2026 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.55730/1300-0098.3638
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Yıldız Technical University Affiliated: Yes

Abstract

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.