- Source: 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.
Kata Kunci Pencarian:
- Sejarah teori grup
- Semisimple element
- Semisimple algebra
- Semisimple Lie algebra
- Jordan–Chevalley decomposition
- Killing form
- Toral subalgebra
- Reductive group
- Semi-simplicity
- Regular element of a Lie algebra
- Casimir element
