Differential geometry of the Lie algebra of the quantum plane

ÇELİK S. , ÇELİK S.

CZECHOSLOVAK JOURNAL OF PHYSICS, cilt.55, sa.4, ss.463-471, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 55 Konu: 4
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s10582-005-0052-8
  • Dergi Adı: CZECHOSLOVAK JOURNAL OF PHYSICS
  • Sayfa Sayıları: ss.463-471

Özet

We present a differential calculus on the extension of the quantum plane obtained by considering that the (bosonic) generator x is invertible and by working with polynomials in In x instead of polynomials in x. We construct the quantum Lie algebra associated with this extension and obtain its Hopf algebra structure and its dual Hopf algebra.