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Chain Polytopes and Algebras with Straightening Laws

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Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka, 560-0043, Japan

    Takayuki Hibi

  2. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Nan Li

Authors
  1. Takayuki Hibi
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  2. Nan Li
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Corresponding author

Correspondence to Takayuki Hibi.

Additional information

Dedicated to Professor Ngô Việt Trung on the occasion of his sixtieth birthday

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Hibi, T., Li, N. Chain Polytopes and Algebras with Straightening Laws. Acta Math Vietnam 40, 447–452 (2015). https://doi.org/10.1007/s40306-015-0115-2

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  • DOI: https://doi.org/10.1007/s40306-015-0115-2

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