Twists in U(sl(3)) and their quantizations

Abstract

The solution of the Drinfeld equation corresponding to the full set of different carrier subalgebras in sl(3) are explicitly constructed. The obtained Hopf structures are studied. It is demonstrated that the presented twist deformations can be considered as limits of the corresponding quantum analogues (q-twists) defined for the q-quantized algebras.

31 pages, Latex 2e, to be published in Journ. Phys. A: Math. Gen

References in corpus (6)

• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• Extended jordanian twists for Lie algebras
• Deformed Yangians and Integrable Models
• Peripheric Extended Twists
• Semi-classical twists for sl(3) and sl(4) boundary r-matrices of Cremmer-Gervais type
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Cited by in corpus (2)

• Quantizations of generalized Cartan type $S$ Lie algebras and of the special algebra $\mathbf{S}(n;\underline{1})$ in the modular case
• Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish