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

Full text: dvi.gz 17 k, dvi 47 k, ps.gz 757 k, pdf.gz 101 k, pdf 124 k.

Server Home Page