Word.ws English Dictionary

Capelli's identity

Capelli's identity proper noun: an analog of the formula det(AB) = det(A) det(B), for certain matrices with noncommuting entries, related to the representation theory of the Lie algebra glₙ. It can be used to relate an invariant ƒ to the invariant Ωƒ, where Ω is Cayley's Ω process.

Proper noun

Capelli's identity

  1. An analog of the formula det(AB) = det(A) det(B), for certain matrices with noncommuting entries, related to the representation theory of the Lie algebra glₙ. It can be used to relate an invariant ƒ to the invariant Ωƒ, where Ω is Cayley's Ω process.

Origin of Capelli's identity

Named after Alfredo Capelli (1887).

Questions about Capelli's identity

What does Capelli's identity mean?
Capelli's identity means an analog of the formula det(AB) = det(A) det(B), for certain matrices with noncommuting entries, related to the representation theory of the Lie algebra glₙ. It can be used to relate an invariant ƒ to the invariant Ωƒ, where Ω is Cayley's Ω process.
What part of speech is Capelli's identity?
Capelli's identity is a proper noun.

Words near Capelli's identity in the dictionary

  1. capelles
  2. capellet
  3. capellets
  4. Capelli
  5. capelli d'angelo
  6. Capelli's identity
  7. capelline
  8. capellines
  9. capellini
  10. Capellis
  11. capellmeister

Source and license

Adapted from Wiktionary: Capelli's identity (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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