Pregled bibliografske jedinice broj: 1220673
Practical computation with indefinite forms
Practical computation with indefinite forms // 4th Croatian Combinatorial Days
Zagreb, Hrvatska, 2022. (predavanje, domaća recenzija, pp prezentacija, znanstveni)
CROSBI ID: 1220673 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Practical computation with indefinite forms
Autori
Dutour-Sikirić, Mathieu
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Skup
4th Croatian Combinatorial Days
Mjesto i datum
Zagreb, Hrvatska, 22.09.2022. - 23.09.2022
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Domaća recenzija
Ključne riječi
Lattice ; Indefinite Forms ; Groups
Sažetak
An indefinite lattice is an integral valued quadratic form on Z^n of signature (p, q) with p, q>0. We consider the following problems for them: - Compute a generating set of the group of invertible integral transformations preserving q. - Given two forms A and B test if there is an invertible integral transformation f such that B[x] = A[f(x)]. - Given C is not 0 find the orbit representatives of solutions of A[x] = C. - Find the orbit representatives of solutions of A[x] = 0 with x primitive. - Find the orbit representatives of k-dimensional totally isotropic planes. We provide some methods that allow resolving such questions. This is based on polyhedral, lattice, and group theoretic techniques. If time allows I will also explain how the edgewalk algorithm of Allcock gives a subgroup of Aut(L) / Cox(L).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
