Differential Algebra - Derivation On A Lie Algebra

Derivation On A Lie Algebra

A derivation on a Lie algebra is a linear map satisfying the Leibniz rule:

For any, ad(a) is a derivation on, which follows from the Jacobi identity. Any such derivation is called an inner derivation.

Read more about this topic:  Differential Algebra

Famous quotes containing the words lie and/or algebra:

    “There will be better days when I am gone
    And healing pools where I cannot be healed.
    Fragrant stars will gleam forever and ever
    Above the place where I lie desolate.”
    —Arna Bontemps (1902–1973)

    “Poetry has become the higher algebra of metaphors.”
    —José Ortega Y Gasset (1883–1955)