Browsing by Keywords "Invariant theory"
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Degree bounds for modular covariants
(De Gruyter, 2020)Let V, W be representations of a cyclic group G of prime order p over a field k of characteristic p. The module of covariants k[V, W]G is the set of G-equivariant polynomial maps V → W, and is a module over k[V ]G. We give ... -
Degree of reductivity of a modular representation
(World Scientific Publishing, 2017)For a finite-dimensional 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 ... -
A note on the Hilbert ideals of a cyclic group of prime order
(Academic Press, 2007)The Hilbert ideal is the ideal generated by positive degree invariant polynomials of a finite group. For a cyclic group of prime order p, we show that the image of the transfer lie in the ideal generated by invariants of ...