Belavin-Drinfeld quantum groups and Lie bialgebras: Galois cohomology considerations

Content Provider	Semantic Scholar
Author	Pianzola, Arturo Stolin, Alexander
Copyright Year	2016
Abstract	We relate the Belavin--Drinfeld cohomologies (twisted and untwisted) that have been introduced in the literature to study certain families of quantum groups and Lie bialgebras over a non algebraically closed field $\mathbb K$ of characteristic 0 to the standard non-abelian Galois cohomology $H^1(\mathbb K, \mathbf H)$ for a suitable algebraic $\mathbb K$-group $\mathbf H.$ The approach presented allows us to establish in full generality certain conjectures that were known to hold for the classical types of the split simple Lie algebras.
File Format	PDF HTM / HTML
Alternate Webpage(s)	https://arxiv.org/pdf/1605.09708v1.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article