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Simple Lie algebra

Simple Lie algebra

Concept in Lie algebra mathematics.

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  1. Lie algebra

    Algebraic structure used in analysis.

    25%

  2. Simple Lie group

    Connected non-abelian Lie group lacking nontrivial connected normal subgroups.

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  3. Semisimple Lie algebra

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    Pictorial representation of symmetry.

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  5. Root system

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  6. Satake diagram

    Term in mathematics.

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    Group that is also a differentiable manifold with group operations that are smooth.

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  8. Élie Cartan

    French mathematician (1869–1951).

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  9. Wilhelm Killing

    German mathematician (1847–1923).

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  1. Semisimple Lie algebra

    Direct sum of simple Lie algebras.

    40%

  2. Simple Lie group

    Connected non-abelian Lie group lacking nontrivial connected normal subgroups.

    13%

  3. E8 (mathematics)

    248-dimensional exceptional simple Lie group.

    5.5%

  4. Root system

    Geometric arrangements of points, foundational to Lie theory.

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  5. Group of Lie type

    Mathematical group.

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