The 1966 Gelfand-Kirillov conjecture is true after finite extensions of skew fields.

zbMath1175.16017MaRDI QIDQ2455331

S. T. Sadetov

Publication date: 22 October 2007

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

universal enveloping algebrasskew fields of fractionsGelfand-Kirillov conjecturefinite-dimensional Lie algebrasalgebraic Lie algebrasWeyl skew fieldsLie skew fieldsnoncentral algebraic extensions

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Finite-dimensional division rings (16K20) Universal enveloping algebras of Lie algebras (16S30)

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The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight

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