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External zonotopal algebra

By Nan Li and Amos Ron

Abstract

We provide a general, unified, framework for external zonotopal algebra. The approach is critically based on employing simultaneously the two dual algebraic constructs and invokes the underlying matroidal and geometric structures in an essential way. This general theory makes zonotopal algebra an applicable tool for a larger class of polytopes

Topics: Mathematics - Commutative Algebra, Mathematics - Classical Analysis and ODEs, Mathematics - Combinatorics, 13F20, 13A02, 16W50, 16W60, 47F05, 47L20, 05B20, 05B35, 05B45, 05C50, 52B05, 52B12, 52B20, 52C07, 52C35, 41A15, 41A63
Year: 2011
OAI identifier: oai:arXiv.org:1104.2072
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