Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries

DOI10.1007/BF02993016zbMath0367.50002OpenAlexW2021209080MaRDI QIDQ1242322

Erich W. Ellers

Publication date: 1977

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02993016

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03) Analytic geometry with other transformation groups (51N25)

Related Items

Small systems of generators of isotropic unitary groups over finite fields of characteristic not two, Products of transvections in one conjugacy class in the symplectic group over \(\text{GF}(3)\), Relations in Hyperreflection Groups, Products of quasireflections and transvections over local rings, Generation of symplectic groups by transvections over local rings with at least 3 residue classes, Products of \(\lambda\)-transvections in Sp(2n,q), Products of reflections in one conjugacy class in the orthogonal group overGF(3), Commutators of symmetries in characteristic 2, Maximal subgroups of the orthogonal group, Radical relations in orthogonal groups, Darstellung spezieller projektiver Spiegelungsgruppen durch orthogonale Gruppen, Width of groups of type \(\mathrm E_6\) with respect to root elements. II., Defining relations for the equiaffine group, Products of transvections in one conjugacy class of the symplectic group over the \(p\)-adic numbers, Siegel transformations for even characteristic., Products of positive transvections in the real symplectic group, Relations in classical groups, The reflection length of a transformation in the unitary group over a finite field, Products of two involutory matrices over skewfields, Projective metric geometry and Clifford algebras, Generators for classical groups of modules over local rings, Products of reflections in the quaternionic unitary group, Defining relations for the equiaffine group, Generation of classical groups over finite fields, Width of groups of type $\mathrm E_{6}$ with respect to root elements. I, Bireflectionality of the weak orthogonal and the weak symplectic groups, Projective collineations as products of homologies, elations, and projective reflections, On the geometric structure of groups of affine motions, Products of half-turns

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