Unimodular triangulations and coverings of configurations arising from root systems

DOI10.1023/A:1012772002661zbMath1001.05125MaRDI QIDQ1610687

Hidefumi Ohsugi, Takayuki Hibi

Publication date: 20 August 2002

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

root systempositive rootsinitial idealsregular unimodular triangulationunimodular covering

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Algebraic combinatorics (05E99) Graph theory (05C99) Lie algebras and Lie superalgebras (17B99) Combinatorial complexity of geometric structures (52C45)

Related Items

Convex normality of rational polytopes with long edges, Hamiltonian tournaments and Gorenstein rings, Existence of unimodular triangulations — positive results

Cites Work

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• Normal polytopes arising from finite graphs
• Koszul bipartite graphs
• Toric ideals generalized by quadratic binomials
• The integral closure of subrings associated to graphs
• How to shell a monoid
• Combinatorial pure subrings.
• Compressed polytopes, initial ideals and complete multipartite graphs
• Quadratic initial ideals of root systems
• Decompositions of Rational Convex Polytopes
• Shellability of semigroup rings
• Introduction to Lie Algebras and Representation Theory
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman