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math.RT2021
Stability theorems for multiplicities in graded -modules
Marino Romero, Nolan Wallach
In this paper, we prove several stability theorems for multiplicities of naturally defined representations of symmetric groups. The first such theorem states that if we consider th…
math.CO2021
Kronecker powers of harmonics, polynomial rings, and generalized principal evaluations
Marino Romero
Our main goal is to compute the decomposition of arbitrary Kronecker powers of the Harmonics of . To do this, we give a new way of decomposing the character for the action of…