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Sperner property and finite-dimensional Gorenstein algebras associated to matroids

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 نشر من قبل Toshiaki Maeno
 تاريخ النشر 2011
  مجال البحث
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We prove the Lefschetz property for a certain class of finite-dimensional Gorenstein algebras associated to matroids. Our result implies the Sperner property of the vector space lattice. More generally, it is shown that the modular geometric lattice has the Sperner property. We also discuss the Grobner fan of the defining ideal of our Gorenstein algebra.



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