Root polytopes, triangulations, and the subdivision algebra. I

DOI10.1090/S0002-9947-2011-05265-7zbMath1233.05215arXiv0904.2194OpenAlexW4248855403MaRDI QIDQ3020342

Karola Mészáros

Publication date: 4 August 2011

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

Full work available at URL: https://arxiv.org/abs/0904.2194

zbMATH Keywords

volumetriangulationEhrhart polynomialroot polytopesubdivision algebrashellingreduced formnoncommutative Gröbner basisnoncrossing alternating treequasi-classical Yang-Baxter algebra

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Length, area and volume in real or complex geometry (51M25) Shellability for polytopes and polyhedra (52B22) Associative rings and algebras arising under various constructions (16S99)

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Cites Work

• Signed posets
• Combinatorics and commutative algebra.
• Gröbner basis techniques in algebraic combinatorics
• Computing the Continuous Discretely
• Permutohedra, Associahedra, and Beyond
• Quotients of Coxeter complexes and 𝑃-partitions
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