The Emergence Machine

Adjoint Representation Of A Lie Algebra

abstract · Mathematics · Level 11 · E0

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Emergence definition

An adjoint representation of a Lie algebra is a mathematical construct that builds upon the principles of algebra to describe the structure of a Lie group.

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Wiktionary senses

External reference — all senses of the word “adjoint representation of a Lie algebra” on Wiktionary. This atlas concept maps to only the slice of meaning relevant to the prerequisite graph.

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Source: Wiktionary — “adjoint representation of a Lie algebra”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
adjoint representation of a Lie algebra
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL11L10L9L8L6L2L1L0Adjoint Represen…RepresentationArtSkillAlgebraExperienceLightMemory… intermediate l…EquationFormInformationLifeActionChangeMatterQuantityEnergyPatternSpaceTimeE1 concrete → E14 abstract

Neighborhood

Direct prerequisites above, concepts that depend on this one below.

thisprerequisitesAdjoint Represen…L11AlgebraL6RepresentationL10E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Algebra L6 (requires)
    An adjoint representation is a type of algebraic representation in abstract algebra.
  • Representation L10 (requires)
    Canonical representation of a Lie algebra on itself.