Modular Lie algebras and the Gelfand-Kirillov conjecture

Details Modular Lie algebras and the Gelfand-Kirillov conjecture Modular Lie algebras and the Gelfand-Kirillov conjecture

2009-07-15

arxiv.org/abs/0907.2500v2

Mathematics

Representation Theory

20 pages

Scientific paper

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.

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