摘要

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 reconstruct the Chevalley Z-supergroups constructed by Fioresi and Gavarini (2012) and by Gavarini (2014). For a wide class of algebraic supergroups we describe their representations by using their super-hyperalgebras.

  • 出版日期2017-5