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math.CO2025
Partition algebras as monoid algebras
John M. Campbell
Wilcox has considered a twisted semigroup algebra structure on the partition algebra , but it appears that there has not previously been any known basis that give…
math.CO2025
Semisimple algebras related to immaculate tableaux
John M. Campbell
Given a direct sum of full matrix algebras, if there is a combinatorial interpretation associated with both the dimension of and the dimensions of the irreducible -modul…