A Geometrical Construction for the Polynomial Invariants of some Reflection Groups


Autoria(s): Sarti, Alessandra
Data(s)

18/06/2012

18/06/2012

2005

Resumo

2000 Mathematics Subject Classification: Primary 20F55, 13F20; Secondary 14L30.

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.

Identificador

Serdica Mathematical Journal, Vol. 31, No 3, (2005), 229p-242p

1310-6600

http://hdl.handle.net/10525/1767

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Polynomial Invariants #Reflection and Coxeter Groups #Group Actions on Varieties
Tipo

Article