Presentations of semigroup algebras of weighted trees

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9 Scopus citations


We study presentations for subalgebras of invariants of the coordinate algebras of binary symmetric models of phylogenetic trees studied by Buczynska and Wisniewski in (J. Eur. Math. Soc. 9:609-635, 2007). These algebras arise as toric degenerations of projective coordinate rings of the moduli of weighted points on the projective line, and projective coordinate rings of the moduli of quasiparabolic semisimple rank two bundles on the projective line.

Original languageEnglish
Pages (from-to)467-489
Number of pages23
JournalJournal of Algebraic Combinatorics
Issue number4
StatePublished - Jun 2010

Bibliographical note

Funding Information:
The author was supported by the NSF FRG grant DMS-0554254. The author will include these results in his doctoral thesis.


  • Phylogenetics
  • Polytope
  • Toric ideal

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics


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