Vector invariants of a permutation group over characteristic zero
Müfit Sezer (Bilkent)
18-Nov-2022, 12:40-13:40 (17 months ago)
Abstract: We consider a finite permutation group acting naturally on a vector space V over a field k. A well known theorem of Göbel asserts that the corresponding ring of invariants k[V]^G is generated by invariants of degree at most dim V choose 2. We point out that if the characteristic of k is zero then the top degree of the vector coinvariants k[mV]_G is also bounded above by n choose 2 implying that Göbel's bound almost holds for vector invariants as well in characteristic zero. This work is joint with F. Reimers.
algebraic geometry
Audience: researchers in the discipline
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