A Geometrical Construction for the Polynomial Invariants of some Reflection Groups
Data(s) |
18/06/2012
18/06/2012
2005
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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 |
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 |