Chain Polytopes and Algebras with Straightening Laws
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40306_2015_Article_115.pdf
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235.56 KB
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Adobe PDF
Checksum (MD5)
e73c851f623fc176b289a7fbb5de9fc9
Author(s)
Hibi, Takayuki
Li, Nan
Date Issued
February 2015
Journal
Acta Mathematica Vietnamica
Publisher
Springer Singapore
Citation
Hibi, Takayuki, and Nan Li. “Chain Polytopes and Algebras with Straightening Laws.” Acta Mathematica Vietnamica 40.3 (2015): 447–452.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s40306-015-0115-2
