Linear vs Semisimple - What's the difference?
linear | semisimple |
Having the form of a line; straight.
Of or relating to lines.
Made in a step-by-step, logical manner.
(botany, of leaves) Long and narrow, with nearly parallel sides.
(mathematics) Of or relating to a class of polynomial of the form .
(physics) A type of length measurement involving only one spatial dimension (as opposed to area or volume).
(mathematics, of a module) In which each submodule is a direct summand.
(mathematics, of an algebra or ring)
(mathematics, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.
(mathematics, of a Lie algebra) Being a direct sum of simple Lie algebras.
(mathematics, of an algebraic group) Being a linear algebraic group whose radical of the identity component is trivial.