Geodesic
Vector Invariants of a Class of Pseudoreflection Groups and Multisymmetric Syzygies
Mátyás Domokos1
1Rényi Institute of Mathematics, Hungarian Academy of Sciences, P. O. Box 127, 1364 Budapest, Hungary
Journal of Lie Theory, Tome 19 (2009) no. 3, pp. 507-525

Voir la notice de l'article provenant de la source Heldermann Verlag

First and second fundamental theorems are given for polynomial invariants of a class of pseudo-reflection groups (including the Weyl groups of type Bn), under the assumption that the order of the group is invertible in the base field. As a special case, a finite presentation of the algebra of multisymmetric polynomials is obtained. Reducedness of the invariant commuting scheme is proved as a by-product. The algebra of multisymmetric polynomials over an arbitrary base ring is revisited.
Classification : 13A50, 14L30, 20G05
Mots-clés : Multisymmetric polynomials, reflection groups, polynomial invariant, second fundamental theorem, ideal of relations, trace identities

Mátyás Domokos  1

1 Rényi Institute of Mathematics, Hungarian Academy of Sciences, P. O. Box 127, 1364 Budapest, Hungary 
Mátyás Domokos. Vector Invariants of a Class of Pseudoreflection Groups and Multisymmetric Syzygies. Journal of Lie Theory, Tome 19 (2009) no. 3, pp. 507-525. http://geodesic.mathdoc.fr/item/JOLT_2009_19_3_a3/
@article{JOLT_2009_19_3_a3,
     author = {M\'aty\'as Domokos},
     title = {Vector {Invariants} of a {Class} of {Pseudoreflection} {Groups} and {Multisymmetric} {Syzygies}},
     journal = {Journal of Lie Theory},
     pages = {507--525},
     year = {2009},
     volume = {19},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2009_19_3_a3/}
}
TY  - JOUR
AU  - Mátyás Domokos
TI  - Vector Invariants of a Class of Pseudoreflection Groups and Multisymmetric Syzygies
JO  - Journal of Lie Theory
PY  - 2009
SP  - 507
EP  - 525
VL  - 19
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JOLT_2009_19_3_a3/
ID  - JOLT_2009_19_3_a3
ER  - 
%0 Journal Article
%A Mátyás Domokos
%T Vector Invariants of a Class of Pseudoreflection Groups and Multisymmetric Syzygies
%J Journal of Lie Theory
%D 2009
%P 507-525
%V 19
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2009_19_3_a3/
%F JOLT_2009_19_3_a3