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Thursday, April 15, 2021

Thursday, April 15, 2021 — 1:00 PM EDT

Title: Algebraic structure of the Hopf algebra of double posets

Speaker: Yannic Vargas Affiliation: Potsdam University Zoom: Contact Karen Yeats

Abstract:

A Hopf algebra of double posets was introduced by Claudia Malvenuto and Christophe Reutenauer in 2011, motivated by the study of pictures of tableaux as defined by Zelevinsky. Starting from the correspondence between top-cones in the braid arrangement and partial orders, we investigate several properties of the Hopf algebra of double posets as the image of a Hopf monoid (via the Fock functor). In particular, we obtain a non-cancellative formula for the antipode. A description of the primitive space is also discussed.

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