Adjective
Neither unqualifiedly direct nor unqualifiedly indirect.
(mathematics, group theory) That has the nature of, or has a nature that derives from or is analogous to, a semidirect product.
Source: en.wiktionary.orgA Lie algebra is solvable if and only if Classification The Levi decomposition expresses an arbitrary Lie algebra as a semidirect sum of its solvable radical and a semisimple Lie algebra, almost in a canonical way. Source: Internet
Levi's theorem says that a finite-dimensional Lie algebra is a semidirect product of its radical and the complementary subalgebra ( Levi subalgebra ). Source: Internet
In this case, the splitting lemma shows that every semidirect product is a direct product. Source: Internet
As with direct products, there is a natural equivalence between inner and outer semidirect products, and both are commonly referred to simply as semidirect products. Source: Internet
G ⋊ H denotes a semidirect product where H acts on G; this may also depend on the choice of action of H on G Abelian and simple groups are noted. Source: Internet
If a given group is a semidirect product, then there is no guarantee that this decomposition is unique. Source: Internet