Pregled bibliografske jedinice broj: 393760
Some Six-Dimensional Rigid Forms
Some Six-Dimensional Rigid Forms // Voronoi's Impact on Modern Science, Book 3, Vol.55 of Proc. Inst. Math. Nat. Acad. Sci. / Syta, H. ; Yurachivsky, A. ; Engel, P. (ur.).
Kijev: The National Academy of Sciences of Ukraine, 2005. str. 102-108
CROSBI ID: 393760 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some Six-Dimensional Rigid Forms
Autori
Dutour, Mathieu ; Vallentin, Frank
Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni
Knjiga
Voronoi's Impact on Modern Science, Book 3, Vol.55 of Proc. Inst. Math. Nat. Acad. Sci.
Urednik/ci
Syta, H. ; Yurachivsky, A. ; Engel, P.
Izdavač
The National Academy of Sciences of Ukraine
Grad
Kijev
Godina
2005
Raspon stranica
102-108
ISBN
966-02-2571-7
Ključne riječi
dual description, rigid forms, L-type
Sažetak
One can always decompose Dirichlet-Voronoi polytopes of lattices non-trivially into a Minkowski sum of Dirichlet-Voronoi polytopes of rigid lattices. In this report we show how one can enumerate all rigid positive semidefinite quadratic forms (and thereby rigid lattices) of a given dimension d. By this method we found all rigid positive semidefinite quadratic forms for d=5 confirming the list of 7 rigid lattices by Baranovskii and Grishukhin. Furthermore, we found out that for d<=5 the adjacency graph of primitive L-type domains is an infinite tree on which GLd(Z) acts. On the other hand, we demonstrate that in d=6 we face a combinatorial explosion.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
