Representation up to homotopy

id: representation-up-to-homotopy-234-8714763
title: Representation up to homotopy
text: A representation up to homotopy has several meanings. One of the earliest appeared in physics, in constrained Hamiltonian systems. The essential idea is lifting a non-representation on a quotient to a representation up to strong homotopy on a resolution of the quotient. As a concept in differential geometry, it generalizes the notion of representation of a Lie algebra to Lie algebroids and nontrivial vector bundles. As such, it was introduced by Abad and Crainic. As a motivation consider a regul
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Representation_up_to_homotopy
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date modified: 2024-03-02T04:59:01Z
main entity: {"identifier":"Q7314230","url":"https://www.wikidata.org/entity/Q7314230"}
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integrity: 13

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