A REMARK ON A CONJECTURE OF DERKSEN

作者:Snowden Andrew*
来源:Journal of Commutative Algebra, 2014, 6(1): 109-112.
DOI:10.1216/JCA-2014-6-1-109

摘要

Let V be a complex representation of a finite group G of order g. Derksen conjectured that the pth syzygies of the invariant ring Sym (V)(G) are generated in degrees <= ( p + 1)g. We point out that a simple application of the theory of twisted commutative algebras-using an idea due to Weyl-gives the weaker bound pg(3), almost for free.

  • 出版日期2014