Quadratic initial ideals of root systems

DOI10.1090/S0002-9939-01-06411-5zbMath1012.13012MaRDI QIDQ2782617

Hidefumi Ohsugi, Takayuki Hibi

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Gröbner basistoric idealsclassical root system

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of higher-dimensional varieties (14Q15)

Related Items

Regular unimodular triangulations of reflexive IDP 2-supported weighted projective space simplices, Reflexive polytopes arising from partially ordered sets and perfect graphs, Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes, Toric ideals and their circuits, PBW filtration and monomial bases for Demazure modules in types A and C, Lexicographic and reverse lexicographic quadratic Gröbner bases of cut ideals, Existence of regular unimodular triangulations of dilated empty simplices, Reflexive polytopes arising from perfect graphs, Quadratic Gröbner bases of twinned order polytopes, Existence of unimodular triangulations — positive results, Chain polytopes and algebras with straightening laws, Degenerate Schubert varieties in type A, Markov-chain Monte Carlo methods for the Box-Behnken designs and centrally symmetric configurations, ISOTONIAN ALGEBRAS, Unimodular triangulations and coverings of configurations arising from root systems

Cites Work

• Finite lattices and lexicographic Gröbner bases
• Compressed polytopes, initial ideals and complete multipartite graphs
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