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arXiv · 0907.2500

Modular Lie algebras and the Gelfand-Kirillov conjecture

Alexander Premet
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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.

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Alexander Premet. 2009-07-15. Modular Lie algebras and the Gelfand-Kirillov conjecture. https://doi.org/10.1007/s00222-010-0249-8

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