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The Hopf algebras of type B quasisymmetric functions and peak functions

Samuel K. Hsiao·T. Kyle Petersen
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Abstract

We show that with the appropriate choice of coproduct, the type B quasisymmetric functions form a Hopf algebra, and the recently introduced type B peak functions form a Hopf subalgebra.

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Samuel K. Hsiao, T. Kyle Petersen. 2006-10-31. The Hopf algebras of type B quasisymmetric functions and peak functions. https://arxiv.org/abs/math/0610976

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