Shell structure of dodecagonal quasicrystals associated with root system F-4 and cyclotomic field Q(zeta(12))

Authors
Morita, J Sakamoto, K
Citation
J. Morita et K. Sakamoto, Shell structure of dodecagonal quasicrystals associated with root system F-4 and cyclotomic field Q(zeta(12)), COMM ALGEB, 28(1), 2000, pp. 255-263
Citations number
20
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
28
Issue
1
Year of publication
2000
Pages
255 - 263
Database
ISI
SICI code
0092-7872(2000)28:1<255:SSODQA>2.0.ZU;2-O
Abstract
Using a Coxeter transformation of type F-4, Pie will construct quasicrystal s of dimension 2 with twelvefold symmetry. Then, such quasicrystals will be realized as subsets of a certain cyclotomic field. And we will study a typ ical shell structure algebraically. In particular, we can give its mathemat ical meaning in terms of elementary number theory.