Extended jordanian twists for Lie algebras

Details Extended jordanian twists for Lie algebras Extended jordanian twists for Lie algebras

1998-06-03

arxiv.org/abs/math/9806014v1

Mathematics

Quantum Algebra

28 pages, LaTeX

Scientific paper

10.1063/1.532987

Jordanian quantizations of Lie algebras are studied using the factorizable twists. For a restricted Borel subalgebras ${\bf B}^{\vee}$ of $sl(N)$ the explicit expressions are obtained for the twist element ${\cal F}$, universal ${\cal R}$-matrix and the corresponding canonical element ${\cal T}$. It is shown that the twisted Hopf algebra ${\cal U}_{\cal F} ({\bf B}^{\vee})$ is self dual. The cohomological properties of the involved Lie bialgebras are studied to justify the existence of a contraction from the Dinfeld-Jimbo quantization to the jordanian one. The construction of the twist is generalized to a certain type of inhomogenious Lie algebras.

Affiliated with

Also associated with

No associations

Rating

Extended jordanian twists for Lie algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extended jordanian twists for Lie algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extended jordanian twists for Lie algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-319199