Journal article

Schläfli numbers and reduction formula

  • Zehrt, Thomas Département de mathématiques, Université de Fribourg, Suisse
    24.05.2007
Published in:
  • European Journal of Combinatorics. - 2008, vol. 29, no. 3, p. 601-616
English We define so-called poset-polynomials of a graded poset and use it to give an explicit and general description of the combinatorial numbers in Schläfli’s (combinatorial) reduction formula. For simplicial and simple polytopes these combinatorial numbers can be written as functions of the numbers of faces of the polytope and the tangent numbers. We use the constructed formulas to determine the volume of 4-dimensional Coxeter polytopes.
Faculty
Faculté des sciences
Department
Département de Mathématiques
Language
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/300779
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