2 papers
math.RA2024
On Modular Invariants of Truncated Polynomial Rings in low ranks
Le Minh Ha, Nguyen Dang Ho Hai, Nguyen Van Nghia
We verify the conjectures due to Lewis, Reiner and Stanton about the Hilbert series of the invariant ring of the truncated polynomial ring for all parabolic subgroups up to rank $3…
math.RA2024
A proof of the Lewis-Reiner-Stanton conjecture for the Borel subgroup
Le Minh Ha, Nguyen Dang Ho Hai, Nguyen Van Nghia
For each parabolic subgroup of the general linear group , a conjecture due to Lewis, Reiner and Stanton \cite{LewisReinerStanton2017} predicts a formula for…