4 papers
3-Plethysms of homogeneous and elementary symmetric functions
Florence Maas-Gariépy, Étienne Tétreault
We introduce the new combinatorial approach of plethystic type of tableaux, as a method to understand coefficients of Schur functions appearing in plethysms and $s_ν[e_λ…
Splitting the square of homogeneous and elementary functions into their symmetric and anti-symmetric parts
Florence Maas-Gariépy, Étienne Tétreault
We consider the expansion of the square of a complete homogeneous function , or of an elementary symmetric function , in the basis of Schur functions. This square also de…
A new order on integer partitions
Étienne Tétreault
Considering Schur positivity of differences of plethysms of homogeneous symmetric functions, we introduce a new relation on integer partitions. This relation is conjectured to be a…
Recurrence relation for plethysm
Étienne Tétreault
We describe a recurrence formula for the plethysm . The proof is based on the original formula by Thrall.