Pregled bibliografske jedinice broj: 483806
Crystallographic groups
Crystallographic groups // Seminar of computational homology and applications, National university of Ireland, Galway
Galway, Irska, 2007. (predavanje, međunarodna recenzija, pp prezentacija, znanstveni)
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Naslov
Crystallographic groups
Autori
Dutour Sikirić, Mathieu
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Izvornik
Seminar of computational homology and applications, National university of Ireland, Galway
/ - , 2007
Skup
Seminar of computational homology and applications, National university of Ireland, Galway
Mjesto i datum
Galway, Irska, 26.09.2007
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
group homology; root lattice; crystallographics group
Sažetak
A crystallographic group is a group acting on $\R^n$ by affine transformations, which contain the translation group $Z^n$ as a finite index subgroup. We will list some examples in dimension 2 and 3 and the Coxeter groups, which are crystallographic. Then we will consider the Wyckoff positions, i.e. the points, which have a nontrivial stabilizer under a crystallographic G and their computation theory. Finally, we will sketch the tools used for classifying crystallographic groups, i.e. Bravais space, normalizer and finite subgroups of GL_n(Z).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
