Browsing by Keywords "Separating invariants"
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Constructing modular separating invariants
(2009)We consider a finite dimensional modular representation V of a cyclic group of prime order p. We show that two points in V that are in different orbits can be separated by a homogeneous invariant polynomial that has degree ... 
Degree of reductivity of a modular representation
(World Scientific Publishing, 2017)For a finitedimensional representation V of a group G over a field F, the degree of reductivity δ(G,V) is the smallest degree d such that every nonzero fixed point υ ∈ VG/{0} can be separated from zero by a homogeneous ... 
Explicit separating invariants for cyclic pgroups
(Elsevier, 201102)We consider a finitedimensional indecomposable modular representation of a cyclic pgroup and we give a recursive description of an associated separating set: We show that a separating set for a representation can be ... 
Lexsegment and Gotzmann ideals associated with the diagonal action of Z/p
(Springer Wien, 2011)We consider a diagonal action of a cyclic group of prime order on a polynomial ring F[x1,...,xn]. We give a description of the actions for which the corresponding Hilbert ideal is Gotzmann when n = 2. Nevertheless, we show ... 
Separating invariants for the klein four group and cyclic groups
(World Scientific Publishing, 20130611)We consider indecomposable representations of the Klein four group over a field of characteristic 2 and of a cyclic group of order pm with p, m coprime over a field of characteristic p. For each representation, we explicitly ...