from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective mathematics In which each
submoduleis a direct summand.
- adjective mathematics For which every
invariant subspacehas an invariant complement, equivalent to the minimal polynomialbeing squarefree.
- adjective mathematics Being a direct sum of
simple Lie algebras.
- adjective mathematics Being a
linearalgebraic group whose radicalof the identitycomponent is trivial.
from Wiktionary, Creative Commons Attribution/Share-Alike License
The action of a real semisimple lie group on a complex flag manifold, II: Unitary representations on partially holomorphic cohomology spaces by Joseph Albert Wolf
Consider the Lie Algebra of a semisimple algebraic group over a field of characteristic
"generalized Sato-Tate law," and that figuring out which generalized Sato-Tate law applies to a given family amounts essentially to computing a certain complex semisimple (not necessarily connected) algebraic group, the "geometric monodromy group" attached to that family.