%0 Journal Article
%T A Clebsch-Gordan formula for SL_3 and applications to rationality
%A Christian B£¿hning
%A Hans-Christian Graf v. Bothmer
%J Mathematics
%D 2008
%I arXiv
%R 10.1016/j.aim.2009.11.006
%X If R, S, T are irreducible SL_3-representations, we give an easy and explicit description of a basis of the space of equivariant maps from R tensor S to T. We apply this method to the rationality problem for invariant function fields. In particular, we prove the rationality of the moduli space of plane curves of degree 34. This uses a criterion which ensures the stable rationality of some quotients of Grassmannians by an SL-action.
%U http://arxiv.org/abs/0812.3278v1