QUANTUM SPLIT QUATERNIONS


ÖZAVŞAR M. , ÖZKAN E. M.

JOURNAL OF SCIENCE AND ARTS, no.4, pp.1003-1010, 2021 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.46939/j.sci.arts-21.4-a11
  • Title of Journal : JOURNAL OF SCIENCE AND ARTS
  • Page Numbers: pp.1003-1010
  • Keywords: Hopf algebra, split quaternions, quantum group

Abstract

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).