dave@impa.br, mathieu.florence@gmail.com and reichst@math.ubc.ca
Submission: 2013, Aug 27
Let G be a split simple group of type G_2 over a field k, and let g be its Lie algebra. We show that the function field k(g) is generated by algebraically independent elements over the field of adjoint invariants k(g)^G.
2010 Mathematics Subject Classification: 14E08, 17B45, 14L30
Keywords and Phrases: Algebraic group, Lie algebra, G_2, rationality problem, Gelfand-Kirillov conjecture
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