Presentations of Semigroup Algebras of Weighted Trees
Presentations of Semigroup Algebras of Weighted Trees
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Date
2009
Authors
Manon, Christopher Allen
Advisor
Millson, John J
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Abstract
We study presentations for subalgebras of
invariants of the coordinate algebras of
binary symmetric models of phylogenetic
trees studied by Buczynska and Wisniewski. These
algebras arise as toric degenerations of
projective coordinate rings of weight varieties
of the Grassmannian of two planes associated to the
Pl\"ucker embedding,
and as toric degenerations of rings of invariants of
Cox-Nagata rings.