Podrobná bibliografie
Název:
Root Polytopes and Growth Series of Root Lattices
Autoři:
Ardila, Federico , Beck, Matthias , Hosten, Serkan , Pfeifle, Julián , Seashore, Kim
Přispěvatelé:
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya. MD - Matemàtica Discreta
Zdroj:
Recercat. Dipósit de la Recerca de Catalunya
Publication Status:
Preprint
Informace o vydavateli:
Society for Industrial & Applied Mathematics (SIAM), 2011.
Rok vydání:
2011
Témata:
Classificació AMS::52 Convex and discrete geometry::52C Discrete geometry , Teoria dels , Combinatorial analysis , Classificació AMS::05 Combinatorics::05A Enumerative combinatorics , Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria convexa i discreta , Discrete geometry , Nombres, Teoria dels , 52 Convex and discrete geometry::52C Discrete geometry [Classificació AMS] , Matemàtiques i estadística::Geometria::Geometria convexa i discreta [Àrees temàtiques de la UPC] , Geometria discreta , Classificació AMS::11 Number theory::11H Geometry of numbers , Mathematics - Commutative Algebra , Commutative Algebra (math.AC) , 01 natural sciences , 11 Number theory::11H Geometry of numbers [Classificació AMS] , Nombres , Number theory , FOS: Mathematics , 05 Combinatorics::05A Enumerative combinatorics [Classificació AMS] , Mathematics - Combinatorics , Combinatorics (math.CO) , 05A15, 05E15, 11H06, 13D40, 14M25, 52B20, 52C07 , 0101 mathematics , Anàlisi combinatòria
Popis:
The convex hull of the roots of a classical root lattice is called a root polytope. We determine explicit unimodular triangulations of the boundaries of the root polytopes associated to the root lattices A_n, C_n, and D_n, and compute their f-and h-vectors. This leads us to recover formulae for the growth series of these root lattices, which were first conjectured by Conway-Mallows-Sloane and Baake-Grimm and proved by Conway-Sloane and Bacher-de la Harpe-Venkov.
Druh dokumentu:
Article
Popis souboru:
application/pdf
Jazyk:
English
ISSN:
1095-7146
DOI:
10.1137/090749293
DOI:
10.48550/arxiv.0809.5123
Přístupová URL adresa:
https://upcommons.upc.edu/bitstream/2117/11800/1/root_polytopes_growth.pdf http://arxiv.org/abs/0809.5123 http://hdl.handle.net/2117/11800 https://dblp.uni-trier.de/db/journals/siamdm/siamdm25.html#ArdilaBHPS11 http://math.sfsu.edu/federico/Articles/rootpolytopes.pdf https://upcommons.upc.edu/bitstream/2117/11800/1/root_polytopes_growth.pdf https://epubs.siam.org/doi/abs/10.1137/090749293 https://upcommons.upc.edu/handle/2117/11800 https://core.ac.uk/display/41764429 https://hdl.handle.net/2117/11800 https://doi.org/10.1137/090749293
Rights:
CC BY NC ND
Přístupové číslo:
edsair.doi.dedup.....378adcfe65d4c60bbcc25a7b41a2d003
Databáze:
OpenAIRE
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