English

A note on the rank of a restricted Lie algebra

Rings and Algebras 2016-09-07 v1 Representation Theory

Abstract

In this short note, we study the rank of a restricted Lie algebra (g,[p])(\mathfrak{g},[p]) and give some applications, which concerns the dimensions of non-trivial irreducible modules. We also compute the rank of the restricted contact algebra K(n)K(n).

Keywords

Cite

@article{arxiv.1609.01446,
  title  = {A note on the rank of a restricted Lie algebra},
  author = {Hao Chang},
  journal= {arXiv preprint arXiv:1609.01446},
  year   = {2016}
}