Differential calculi on the Z3-graded Hopf algebra F(C~q1|1|1)

ÇELİK S.

Arabian Journal of Mathematics, cilt.14, sa.2, ss.197-218, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s40065-025-00517-z
  • Dergi Adı: Arabian Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.197-218
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Considering a Z3-graded 3-dimensional space, we develop Z3-graded differential calculi on the algebra of functions defined on this space, which is a Z3-graded Hopf algebra. We demonstrate that these differential calculi admit a ∗-operation. Additionally, we discover a new Z3-graded upper triangular quantum group and explicitly define its Z3-graded Hopf algebraic structure. We also show in detail that this quantum group is the symmetry group of one of these calculi.