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From dynamical to non-dynamical twists

E. Karolinsky ; Alexander Stolin (Institutionen för matematiska vetenskaper) ; V. Tarasov
Letters in Mathematical Physics (0377-9017). Vol. 71 (2005), 3, p. 173-178.
[Artikel, refereegranskad vetenskaplig]

We provide a construction which gives a twisting element for a universal enveloping algebra starting from a certain dynamical twist. This construction is a quantization of the analogous quasi-classical process given in [Karolinsky and Stolin, Lett. Math. Phys. 60 (2002), 257-274]. In particular, we reduce the computation of the twisting element for the classical r-matrix constructed from the Frobenius algebra the maximal parabolic subalgebra of sl(n) related to the simple root alpha(n-1), to the computation of the universal dynamical twist for sl(n).



Denna post skapades 2007-10-05. Senast ändrad 2013-08-19.
CPL Pubid: 51712

 

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