Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective mathematics In which each
submodule is a directsummand . - adjective mathematics For which every
invariant subspace has an invariantcomplement , equivalent to theminimal polynomial beingsquarefree . - adjective mathematics Being a direct sum of
simple Lie algebras . - adjective mathematics Being a
linear algebraic group whoseradical of theidentity component istrivial .
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
semi- + simple
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Examples
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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
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Consider the Lie Algebra of a semisimple algebraic group over a field of characteristic
MetaFilter mattholomew 2008
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"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.
AvaxHome RSS: 2009
hernesheir commented on the word semisimple
The definitions are a bit semicomplex. No. 2 is quite clear and simple, however.
October 23, 2011