Presentations of semigroup algebras of weighted trees

Christopher Manon

doi:10.1007/s10801-009-0195-y

Presentations of semigroup algebras of weighted trees

Christopher Manon

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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 language	English
Pages (from-to)	467-489
Number of pages	23
Journal	Journal of Algebraic Combinatorics
Volume	31
Issue number	4
DOIs	https://doi.org/10.1007/s10801-009-0195-y
State	Published - 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.

Keywords

Phylogenetics
Polytope
Toric ideal

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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10.1007/s10801-009-0195-y

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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 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.",

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AB - 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.

KW - Phylogenetics

KW - Polytope

KW - Toric ideal

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Presentations of semigroup algebras of weighted trees

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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