Splitting full matrix algebras over algebraic number fields

Let K be a fixed algebraic number field and let A be an associative algebra over K given by structure constants such that A≅Mn(K) holds for some positive integer n. Suppose that n is bounded. Then an isomorphism A→Mn(K) can be constructed by a polynomial time ff-algorithm. An ff-algorithm is a deter...

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Vydané v:	Journal of algebra Ročník 354; číslo 1; s. 211 - 223
Hlavní autori:	Ivanyos, Gábor, Rónyai, Lajos, Schicho, Josef
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 15.03.2012
Predmet:	Central simple algebra Lattice basis reduction Maximal order Minkowskiʼs theorem on convex bodies n-Descent on elliptic curves Parametrization Real and complex embedding Severi–Brauer surfaces Splitting Splitting element Parametrization Splitting Central simple algebra Splitting element Real and complex embedding Minkowskiʼs theorem on convex bodies Lattice basis reduction n-Descent on elliptic curves Severi–Brauer surfaces Maximal order
ISSN:	0021-8693, 1090-266X
On-line prístup:	Získať plný text
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