derangements 1hilbert series 1homological algebra 1orbit harmonics 1permutation matrices 1symmetric group representations 1
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math.CO2026
Derangement permutation matrices and orbit harmonics
Yupeng Li, Jasper Liu, Brendon Rhoades
The paper investigates the algebraic and representation-theoretic properties of the set of derangement permutation matrices via the orbit harmonics quotient ring, giving explicit g…
math.CO2024
Involution matrix loci and orbit harmonics
Moxuan J. Liu, Yichen Ma, Brendon Rhoades +1
Let be the affine space of complex matrices with coordinate ring . We define graded quotie…