Products of quasireflections and transvections over local rings

Autor:	Erich W. Ellers, Rolfdieter Frank
Rok vydání:	1988
Předmět:	Combinatorics Rank (linear algebra) Factorization Quadratic form Sesquilinear form Product (mathematics) Local ring Isometry Geometry and Topology Commutative property Mathematics
Zdroj:	Journal of Geometry. 31:69-78
ISSN:	1420-8997 0047-2468
DOI:	10.1007/bf01222386
Popis:	Let R be a commutative local ring and M a free R-module of rank n. The module M is endowed with a metric structure given by a sesquilinear form or by a quadratic form. We show, every isometry π of M is a product of quasireflections or transvections. We determine the minimal number of factors needed in any factorization of π if the path of π is a subspace. For all other isometries we obtain only an upper bound.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9e755bf621bf73a329b2a61c6c20195f https://doi.org/10.1007/bf01222386 Zobrazit plný text záznamu Full text from SpringerLink