Polynomial Invariants Reflection and Coxeter Groups Group Actions on Varieties
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 31, No 3, (2005), 229p-242p
We construct invariant polynomials for the reflection groups
[3, 4, 3] and [3, 3, 5] by using some special sets of lines on the quadric P1 × P1
in P3. Then we give a simple proof of the well known fact that the ring of
invariants are rationally generated in degree 2,6,8,12 and 2,12,20,30.