Files and links (1)
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute, Open
Preprint
Three variations on the linear independence of grouplikes in a coalgebra
arXiv.org
23 Sep 2020
Abstract
The grouplike elements of a coalgebra over a field are known to be linearly
independent over said field. Here we prove three variants of this result. One
is a generalization to coalgebras over a commutative ring (in which case the
linear independence has to be replaced by a weaker statement). Another is a
stronger statement that holds (un-der stronger assumptions) in a commutative
bialgebra. The last variant is a linear independence result for characters (as
opposed to grouplike elements) of a bialgebra.
Metrics
5 Record Views
Details
- Title
- Three variations on the linear independence of grouplikes in a coalgebra
- Creators
- Gérard Duchamp - LIPNDarij GrinbergVincel Minh
- Publication Details
- arXiv.org
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021862239004721