Pregled bibliografske jedinice broj: 1220626
Fast implementation of Vinberg algorithm
Fast implementation of Vinberg algorithm // Research Seminar: Algebra and Algebraic Combinatorics Seminar of the University of Hannover
Hannover, Njemačka, 2021. (predavanje, međunarodna recenzija, pp prezentacija, znanstveni)
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Naslov
Fast implementation of Vinberg algorithm
Autori
Dutour Sikirić, Mathieu
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Skup
Research Seminar: Algebra and Algebraic Combinatorics Seminar of the University of Hannover
Mjesto i datum
Hannover, Njemačka, 22.10.2021
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Hyperbolic Geometry ; Lattice
Sažetak
Vinberg's algorithm allows determining the fundamental domain of a hyperbolic Coxeter group. We report on the classical theory of this algorithm but concentrate on the implementation aspects. We will consider the following aspects of the algorithm: - Termination condition for the enumeration when a group has a finite root diagram. - Termination is when the fundamental domain will have an infinity of facets. The code has been implemented over Z and extensions to the number ring are under consideration.
Izvorni jezik
Engleski
Znanstvena područja
Matematika