Group gradings on restricted Cartan type Lie algebras
Rings and Algebras
2012-12-04 v2
Abstract
For a given abelian group G, we classify the isomorphism classes of G-gradings on the simple restricted Lie algebras of types W(m;1) and S(m;1) (m>=2), in terms of numerical and group-theoretical invariants. Our main tool is automorphism group schemes, which we determine for the simple restricted Lie algebras of types S(m;1) and H(m;1). The ground field is assumed to be algebraically closed of characteristic p>3.
Keywords
Cite
@article{arxiv.1001.0191,
title = {Group gradings on restricted Cartan type Lie algebras},
author = {Yuri Bahturin and Mikhail Kochetov},
journal= {arXiv preprint arXiv:1001.0191},
year = {2012}
}
Comments
Several typographical errors have been corrected