Abstract
The subject on this paper is that part of algebraic phylogenetics which proposes a method to infere the expected values of three kinds of nucleotide substitutions on the branches of a phylogenetic tree that explains the ancestral relations among an associated set of lineages. A tool known as Hadamard conjugation is presented, which –because it connects both the probability distribution of the different substitution patterns on the leaves of the phylogenetic tree, and the complete set of expected values of substitutions on its branches– may indeed be a resource to phylogenetic reconstruction. Based on this, a likelihood function is built for a quartet associated with an alignment of four nucleotide sequences.
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