Given a finite group $G$, prove that the matrices of its left-regular representation, with elements defined by

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Given a finite group $G$, prove that the matrices of its left-regular representation, with elements defined by Eq. (3.70), satisfy the group multiplication law, i.e., that $L(g) L\left(g^{\prime}\right)=L\left(g g^{\prime}\right)$.

Data from Eq. (3.70)

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Mathematical Methods For Physics An Introduction To Group Theory Topology And Geometry

ISBN: 9781107191136

1st Edition

Authors: Esko Keski Vakkuri, Claus Montonen, Marco Panero

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Question Posted: May 07, 2024 03:00 AM

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Given a finite group $G$, prove that the matrices of its left-regular representation, with elements defined by

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D(g)gh = = 1, if g' gh 0, if g' #gh

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Mathematical Methods For Physics An Introduction To Group Theory Topology And Geometry

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