Semisimple element

In mathematics, a semisimple element is an abstract element of an algebraic structure that generalizes a diagonalizable matrix. A precise meaning depends on context:

• A semisimple element in the endomorphism ring of a vector space is a semisimple operator.
• In a semisimple Lie algebra, an element is semisimple if its image under the adjoint representation is semisimple; see Semisimple Lie algebra#Jordan decomposition.

This disambiguation page lists articles associated with the title Semisimple element.
If an internal link led you here, you may wish to change the link to point directly to the intended article.