Capelli's identity

id: capelli-s-identity-313-11006733
title: Capelli's identity
text: In mathematics, Capelli's identity, named after Alfredo Capelli (1887), is an analogue of the formula det(AB) = det(A) det(B), for certain matrices with noncommuting entries, related to the representation theory of the Lie algebra g l n . It can be used to relate an invariant ƒ to the invariant Ωƒ, where Ω is Cayley's Ω process.
brand slug: wiki
category slug: encyclopedia
description: Analogue of the formula det(AB) equals det(A) det(B) for matrices with noncommuting entries
original url: https://en.wikipedia.org/wiki/Capelli%27s_identity
date created:
date modified: 2024-01-26T18:42:54Z
main entity: {"identifier":"Q4459373","url":"https://www.wikidata.org/entity/Q4459373"}
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integrity: 14

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