Z(3)-graded differential geometry of the quantum plane


ÇELİK S.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.35, no.30, pp.6307-6318, 2002 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 30
  • Publication Date: 2002
  • Doi Number: 10.1088/0305-4470/35/30/308
  • Title of Journal : JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Page Numbers: pp.6307-6318

Abstract

In this work, the Z(3)-graded differential geometry of the quantum plane is constructed. The corresponding quantum Lie algebra and its Hopf algebra structure are obtained. The dual algebra, i.e. the universal enveloping algebra of the quantum plane is explicitly constructed.