Differential geometry of the Lie algebra of the quantum plane

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ÇELİK S., ÇELİK S.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 4
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/s10582-005-0052-8
  • Dergi Adı: CZECHOSLOVAK JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.463-471
  • Yıldız Teknik Üniversitesi Adresli: Evet

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.