Differential geometry of the quantum 3-dimensional space


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ÇELİK S. , YAŞAR E.

CZECHOSLOVAK JOURNAL OF PHYSICS, vol.56, no.3, pp.229-236, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 3
  • Publication Date: 2006
  • Doi Number: 10.1007/s10582-006-0083-9
  • Journal Name: CZECHOSLOVAK JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.229-236
  • Yıldız Technical University Affiliated: Yes

Abstract

A Hopf algebra structure of the extended three-dimensional quantum space is defined. A differential algebra of the extended three-dimensional quantum space is introduced and its Hopf algebra structure is explicitly given. The (undeformed) Lie algebra of three dimensional quantum space is obtained.