Invariant decomposition

id: invariant-decomposition-241-11265090
title: Invariant decomposition
text: The invariant decomposition is a decomposition of the elements of pin groups Pin into orthogonal commuting elements. It is also valid in their subgroups, e.g. orthogonal, pseudo-Euclidean, conformal, and classical groups. Because the elements of Pin groups are the composition of k oriented reflections, the invariant decomposition theorem reads It is named the invariant decomposition because these factors are the invariants of the k -reflection R ∈ Pin . A well known special case is the Chasles'
brand slug: wiki
category slug: encyclopedia
description: Concept in group theory (mathematics)
original url: https://en.wikipedia.org/wiki/Invariant_decomposition
date created:
date modified: 2023-11-18T03:33:19Z
main entity: {"identifier":"Q113213706","url":"https://www.wikidata.org/entity/Q113213706"}
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fields total: 13
integrity: 14

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