Differential calculi on \(\mathbb Z_3\)-graded Grassmann plane. (English) Zbl 1420.17016
Summary: Covariant differential calculi on the \(\mathbb Z_3\)-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.
MSC:
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 16T25 | Yang-Baxter equations |
| 81R60 | Noncommutative geometry in quantum theory |
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