@inproceedings{Kulish2008ChainsOT,
title={Chains of twists for classical Lie algebras 1},
author={Petr P. Kulish},
year={2008}
}

Petr P. Kulish

Published 2008

For chains of regular injections Ap ⊂ Ap−1 ⊂ . . . ⊂ A1 ⊂ A0 of Hopf algebras the sets of maximal extended Jordanian twists {FEk} are considered. We prove that under certain conditions there exists for A0 the twist FBk≺0 composed by the factors FEk . The general construction of a chain of twists is applied to the universal envelopings U(g) of classical Lie algebras g . We study the chains for the infinite series An, Bn and Dn. The properties of the deformation produced by a chain U(g)FBk≺0 are… CONTINUE READING