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math.RT2020★ 2 cited
The reflection representation in the homology of subword order
Sheila Sundaram
We investigate the homology representation of the symmetric group on rank-selected subposets of subword order. We show that the homology module for words of bounded length, over an…
math.RT2020★ 4 cited
On a curious variant of the -module
Sheila Sundaram
We introduce a variant of the much-studied representation of the symmetric group , which we denote by Our variant gives rise to a decomposition of the reg…
math.CO2020
The plethystic inverse of the odd Lie representations
Sheila Sundaram
The Frobenius characteristic of the representation of the symmetric group afforded by the multilinear component of the free Lie algebra, is known to satisfy many int…