QUANTUM SPLIT QUATERNIONS


ÖZAVŞAR M., ÖZKAN E. M.

JOURNAL OF SCIENCE AND ARTS, sa.4, ss.1003-1010, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.46939/j.sci.arts-21.4-a11
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.1003-1010
  • Anahtar Kelimeler: Hopf algebra, split quaternions, quantum group
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this study we introduce q-deformed split quaternions, that is, this deformation reduces to classical split quaternions as q -> 1 where q is a real parameter. It is also shown that there is a quantum group associated with q-deformed split quaternions, which is isomorphic to SUq(1,1).