Chains of twists for classical Lie algebras
P. P. Kulish, V. D. Lyakhovsky, M. A. del Olmo
Abstract
For chains of regular injections Ap -> A(p-1) -> ... -> A1 -> A0 of Hopf algebras the sets of maximal extended Jordanian twists FE are considered. We prove that under certain conditions there exists for A0 the twist composed by the factors (FE)k. 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 UF(g) are explicitly demonstrated for the case of g = so(9).
Create a lesson
Related papers
The weak bialgebra structures on k n
Jingheng Zhou
Characters of Quantum Symmetric Pairs
Philip Schlösser
Bianchi identities in noncommutative geometry
Paolo Aschieri
Centers of quantum Schur superalgebras from Hecke algebras
Qiang Fu, Yingshan Luo, Chengquan Sun
On Split Forms of Fusion Categories
César Galindo
R-matrix via Hasse diagrams
Nikita Kryazhevskikh, Andrey Mudrov, Vladimir Stukopin