ABSTRACT We prove some cases of a conjecture of Lewis, Reiner and Stanton regarding Hilbert series corresponding to the action of on a polynomial ring modulo Frobenius powers. We also… Click to show full abstract
ABSTRACT We prove some cases of a conjecture of Lewis, Reiner and Stanton regarding Hilbert series corresponding to the action of on a polynomial ring modulo Frobenius powers. We also give a few conjectures about the invariant ring for certain cases that we don’t prove completely.
               
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