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Published in 2017 at "Communications in Algebra"
DOI: 10.1080/00927872.2018.1448842
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…
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Keywords:
frobenius powers;
invariant theory;
general linear;
finite general ... See more keywords
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Published in 2020 at "Experimental Mathematics"
DOI: 10.1080/10586458.2018.1470045
Abstract: ABSTRACT Matrices over a finite field having fixed rank and restricted support are a natural q-analog of rook placements on a board, even though their enumeration is known to yield nonpolynomial answers in some cases.…
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Keywords:
linear group;
rook theory;
general linear;
finite general ... See more keywords