ℤ₃-graded Cartan calculus on 𝒪(ℂ_q^1|1|1)

Authors

SULTAN ÇELİKFollow
SALİH ÇELİKFollow

Author ORCID Identifier

SULTAN ÇELİK: 0000-0003-3465-8209

SALİH ÇELİK: 0000-0002-6590-1032

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.

DOI

10.55730/1300-0098.3638

Keywords

ℤ3-graded differential calculus, ℤ3-graded inner derivations, ℤ3-graded Lie derivatives, ℤ3-graded Cartan calculus, ℤ3-graded Hopf algebra, ℤ3-graded quantum group, ℤ3-graded quantum space

First Page

97

Last Page

126

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

ÇELİK, S, & ÇELİK, S (2026). ℤ₃-graded Cartan calculus on 𝒪(ℂ_q^1|1|1). Turkish Journal of Mathematics 50 (1): 97-126. https://doi.org/10.55730/1300-0098.3638