Hyperoctahedral Operations on Hochschild Homology

  title={Hyperoctahedral Operations on Hochschild Homology},
  author={Nantel Bergeron},
  journal={Advances in Mathematics},
  • N. Bergeron
  • Published 1 February 1995
  • Mathematics
  • Advances in Mathematics
Abstract We construct Families {ρ l, k n } of orthogonal idempotents of the hyperoctahedral group algebras Q [ B n ], which commute with the Hochschild boundary operators b n =∑ n i=0 (−1) i d i . We show that those idempotents are projections onto some hyperoactahedral symmetric powers of the free Lie algebra Lie ( l, k ) n ( A ). The commutations above then decompose the Hochshild homology H n ( C ) obtained by any functor C : Δ op → K - module that factor through Fin ′ B , the… 
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