• Corpus ID: 221695098

On a curious variant of the Sn-module Lien

  title={On a curious variant of the Sn-module Lien},
  author={S. Sundaram},
We introduce a variant of the much-studied Lie representation of the symmetric group Sn, which we denote by Lie n . Our variant gives rise to a decomposition of the regular representation as a sum of exterior powers of the modules Lie n . This is in contrast to the theorems of Poincaré–Birkhoff–Witt and Thrall which decompose the regular representation into a sum of symmetrised Lie modules. We show that nearly every known property of Lien has a counterpart for the module Lie n , suggesting… 

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