Jordanian Quantum Algebra ${\\cal U}_{\\sf h}(sl(N))$ via Contraction Method and Mapping - Archive ouverte HAL
Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2002

Jordanian Quantum Algebra ${\\cal U}_{\\sf h}(sl(N))$ via Contraction Method and Mapping

B. Abdesselam
  • Fonction : Auteur
R. Chakrabarti
  • Fonction : Auteur

Résumé

Using the contraction procedure introduced by us in Ref. \\cite{ACC2}, we construct, in the first part of the present letter, the Jordanian quantum Hopf algebra ${\\cal U}_{\\sf h}(sl(3))$ which has a remarkably simple coalgebraic structure and contains the Jordanian Hopf algebra ${\\cal U}_{\\sf h}(sl(2))$, obtained by Ohn, as a subalgebra. A nonlinear map between ${\\cal U}_{\\sf h}(sl(3))$ and the classical $sl(3)$ algebra is then established. In the second part, we give the higher dimensional Jordanian algebras ${\\cal U}_{\\sf h}(sl(N))$ for all $N$. The Universal ${\\cal R}_{\\sf h}$-matrix of ${\\cal U}_{\\sf h} (sl(N))$ is also given.

Dates et versions

hal-00007522 , version 1 (13-07-2005)

Identifiants

Citer

B. Abdesselam, A. Chakrabarti, R. Chakrabarti. Jordanian Quantum Algebra ${\\cal U}_{\\sf h}(sl(N))$ via Contraction Method and Mapping. Journal of Physics A: Mathematical and Theoretical, 2002, 35, pp.3231-3244. ⟨hal-00007522⟩
97 Consultations
0 Téléchargements

Altmetric

Partager

More