English

Extension theorems for reductive group schemes

Number Theory 2016-02-24 v6 Algebraic Geometry

Abstract

We prove several basic extension theorems for reductive group schemes. We also prove that each Lie algebra with a perfect Killing form over a commutative \dbZ\dbZ-algebra, is the Lie algebra of an adjoint group scheme.

Keywords

Cite

@article{arxiv.math/0406508,
  title  = {Extension theorems for reductive group schemes},
  author = {Adrian Vasiu},
  journal= {arXiv preprint arXiv:math/0406508},
  year   = {2016}
}

Comments

22 pages, accepted for publication in final form. To appear in Algebra & Number Theory