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title
Haskell for Maths
description
image
site name
author
updated
2026-03-04 01:41:27
raw text
Haskell for Maths Haskell for Maths Sunday 10 June 2012 CHAs V: More Hopf Algebra morphisms Last time we looked at the descending tree morphism between the combinatorial Hopf algebras SSym and YSym with fundamental bases consisting of (indexed by) permutations and binary trees respectively. We previously also looked at a Hopf algebra QSym with a basis consisting of compositions. There are also morphisms between SSym/YSym and QSym. However, before we look at these, we need to look at an alternative basis for QSym. When I introduced QSym, I defined a type QSymM for the basis, without explaining what the M stands for. It actually stands for "monomial" (but I'm not going to explain why quite yet). Now, of course it is possible to construct any number of alternative bases for QSym, by taking linear combinations of the QSymM basis elements. However, most of these alternative bases are not likely to be very mathematically useful. (By mathematically useful, I mean, for examp...
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