A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
On the partial categorification of some Hopf algebras using the representation theory of towers of J-trivial monoids and semilattices
2014
unpublished
This paper considers the representation theory of towers of algebras of J-trivial monoids. Using a very general lemma on induction, we derive a combinatorial description of the algebra and coalgebra structure on the Grothendieck rings G0 and K0. We then apply our theory to some examples. We first retrieve the classical Krob-Thibon's categorification of the pair of Hopf algebras QSym/NCSF as representation theory of the tower of 0-Hecke algebras. Considering the towers of semilattices given by
fatcat:lnvvtlculbbabnzre6hem6qcnu