Lie algebra representation

id: lie-algebra-representation-202-13988438
title: Lie algebra representation
text: In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices in such a way that the Lie bracket is given by the commutator. In the language of physics, one looks for a vector space V together with a collection of operators on V satisfying some fixed set of commutation relations, such as the relations satisfied by the angular momentum operators. The notion is closely related to that of a
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Lie_algebra_representation
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date modified: 2023-11-08T17:20:22Z
main entity: {"identifier":"Q1136782","url":"https://www.wikidata.org/entity/Q1136782"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/14/E8Petrie.svg","width":512,"height":514}
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