Geodesic
Vector Invariants of a Class of Pseudoreflection Groups and Multisymmetric Syzygies
Journal of Lie theory, Tome 19 (2009) no. 3, pp. 507-525 Cet article a éte moissonné depuis la source Heldermann Verlag

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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 
@article{JLT_2009_19_3_JLT_2009_19_3_a3,
     author = {M. 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/JLT_2009_19_3_JLT_2009_19_3_a3/}
}
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M. 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/JLT_2009_19_3_JLT_2009_19_3_a3/