EXTERNAL ZONOTOPAL ALGEBRA

DOI10.1142/S0219498813500977zbMath1328.05037arXiv1104.2072OpenAlexW2963810192MaRDI QIDQ5401626

Nan Li, Amos Ron

Publication date: 10 March 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2072

zbMATH Keywords

dualitygraphsmatroidsHilbert seriesmultivariate polynomialspolynomial idealshyperplane arrangementszonotopesbox splinespolynomial interpolationgradingkernels of differential operators

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Combinatorial aspects of matroids and geometric lattices (05B35) Spline approximation (41A15) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

Zonotopal algebra and forward exchange matroids ⋮ Hierarchical zonotopal power ideals ⋮ Classification of external zonotopal algebras

Cites Work

• Hierarchical zonotopal power ideals
• Zonotopal algebra
• On two polynomial spaces associated with a box spline
• On polynomial ideals of finite codimension with applications to box spline theory
• On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators
• On multivariate polynomial interpolation
• Hierarchical zonotopal spaces
• Combinatorics and geometry of power ideals
• Trees, parking functions, syzygies, and deformations of monomial ideals

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