  Let F be a finite field of odd cardinality, and let G= GL2(F). The group G
\times G \times G acts on F^2 \otimes F^2 \otimes F^2 via symplectic
similitudes, and has a natural Weil representation. Answering a question
rasised by V. Drinfeld, we decompose that representation into irreducibles. We
also decompose the analogous representation of GL2(A), where A is a cubic
algebra over F.
