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- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by The Author(s)
- Subject
- Mathematics; Mathematics, general
- ISSN
- 1664-3607
- eISSN
- 1664-3615
- DOI
- 10.1007/s13373-016-0094-1
- Publisher site
- See Article on Publisher Site
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 $$\mathbb {K}$$ K of characteristic 0 to the standard non-abelian Galois cohomology $$H^1(\mathbb {K}, \mathbf{H})$$ H 1 ( K , H ) for a suitable algebraic $$\mathbb {K}$$ K -group $$\mathbf{H}.$$ 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.
Journal
Bulletin of Mathematical Sciences – Springer Journals
Published: Dec 9, 2016