Algebraic supergroups and Harish-Chandra pairs over a commutative ring
2016
We prove a category equivalence between algebraic supergroups and Harish-Chandra pairs over a commutative ring which is $2$-torsion free. The result is applied to re-construct the Chevalley $\mathbb{Z}$-supergroups constructed by Fioresi and Gavarini [8] and by Gavarini [9, 10]. For a wide class of algebraic supergroups we describe their representations by using their super-hyperalgebras.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
28
References
10
Citations
NaN
KQI