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Mészáros, Karola

Root polytopes, triangulations, and the subdivision algebra. I. (English) Zbl 1233.05215

Trans. Am. Math. Soc. 363, No. 8, 4359-4382 (2011).

Cited in 2 Reviews
Cited in 22 Documents

MSC:

05E15 Combinatorial aspects of groups and algebras (MSC2010)
16S99 Associative rings and algebras arising under various constructions
52B11 \(n\)-dimensional polytopes
52B22 Shellability for polytopes and polyhedra
51M25 Length, area and volume in real or complex geometry

Keywords:

root polytope; triangulation; volume; Ehrhart polynomial; subdivision algebra; quasi-classical Yang-Baxter algebra; reduced form; noncrossing alternating tree; shelling; noncommutative Gröbner basis
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\textit{K. Mészáros}, Trans. Am. Math. Soc. 363, No. 8, 4359--4382 (2011; Zbl 1233.05215)
Full Text: DOI arXiv

References:

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