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math.CO2026
On equidistribution theorem for plane partitions
Alimzhan Amanov, Damir Yeliussizov
We prove equidistribution of two pairs of statistics on boxed plane partitions: (volume, trace) and (corner-hook volume, number of corners). The proof relies on different 3d visual…
math.CO2026
Group and algebra hyperdeterminant
Alimzhan Amanov
In 1896, Dedekind posed the problem of factoring the group determinant in the non-abelian case to Frobenius, whose solution sparked the birth of finite-group representation theory.…