Modular Lie algebras and the Gelfand-Kirillov conjecture
classification
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keywords
conjecturegelfand-kirillovalgebraalgebraicallyalgebrascharacteristiccloseddimensional
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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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