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Chain Polytopes and Algebras with Straightening Laws

Author(s)
Hibi, Takayuki; Li, Nan
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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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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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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.
Date issued
2015-02
URI
http://hdl.handle.net/1721.1/104347
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0251-4184
2315-4144

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