Acta Mathematica Vietnamica

, Volume 40, Issue 3, pp 447–452 | Cite as

Chain Polytopes and Algebras with Straightening Laws

  • Takayuki Hibi
  • Nan Li


It will be shown that the toric ring of the chain polytope of a finite partially ordered set is an algebra with straightening laws on a finite distributive lattice. Thus, in particular, every chain polytope possesses a regular unimodular triangulation arising from a flag complex.


Algebra with straightening laws Chain polytope Partially ordered set 

Mathematics Subject Classification (2010)

Primary 52B20 Secondary 13P10 03G10 


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Copyright information

© Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2015

Authors and Affiliations

  1. 1.Department of Pure and Applied Mathematics, Graduate School of Information Science and TechnologyOsaka UniversityToyonakaJapan
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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