Ueber die Tiefe von Invariantenringen unendlicher Gruppen

Details Ueber die Tiefe von Invariantenringen unendlicher Gruppen Ueber die Tiefe von Invariantenringen unendlicher Gruppen

2007-11-29

arxiv.org/abs/0711.4730v1

Mathematics

Commutative Algebra

148 pages, Doktorarbeit (i.e. Ph. D. thesis)

Scientific paper

Let K be an algebraically closed field. For a graded K-Algebra R, we write
cmdef R:=dim R -depth R. We show that for each reductive group G (over K) which
is not linearly reductive, there exists a faithful G-module V such that cmdef
K[\sum_i=1^k V]^G >= k-2 for all k. We will give such a V explicitly.

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