English

Modular Lie algebras and the Gelfand-Kirillov conjecture

Representation Theory 2015-05-13 v2 Rings and Algebras

Abstract

Let g be a finite dimensional simple Lie algebra over an algebraically closed field of characteristic zero. We show that if the Gelfand-Kirillov conjecture holds for g, then g has type A_n, C_n or G_2.

Keywords

Cite

@article{arxiv.0907.2500,
  title  = {Modular Lie algebras and the Gelfand-Kirillov conjecture},
  author = {Alexander Premet},
  journal= {arXiv preprint arXiv:0907.2500},
  year   = {2015}
}

Comments

20 pages