Abstract
Let $V$ be a complex representation of a finite group $G$ of order $g$. Derksen conjectured that the $p$th syzygies of the invariant ring $\text{Sym\,}(V)^G$ are generated in degrees $\le (p+1)g$. We point out that a simple application of the theory of twisted commutative algebras\endash/using an idea due to Weyl\endash/gives the weaker bound $pg^3$, almost for free.
Citation
Andrew Snowden. "A remark on a conjecture of Derksen." J. Commut. Algebra 6 (1) 109 - 112, SPRING 2014. https://doi.org/10.1216/JCA-2014-6-1-109
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