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    Semisimple Lie Group

    Definition

    A Lie group is called semisimple if its Lie algebra is semisimple. For example, the special linear group S L(n) and special orthogonal group S O(n) (over R or C) are semisimple, whereas triangular groups are not.

    Related terms

    Heisenberg group | Lie group | semisimple Lie algebra

    Associated person

    Marius Sophus Lie

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