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  1. semisimple love

Definitions

Wiktionary

  1. adj. mathematics In which each submodule is a direct summand.
  2. adj. mathematics For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.
  3. adj. mathematics Being a direct sum of simple Lie algebras.
  4. adj. mathematics Being a linear algebraic group whose radical of the identity component is trivial.

Etymologies

  1. semi- +‎ simple (Wiktionary)

Examples

  • “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”

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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.”

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Comments

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  • hernesheir The definitions are a bit semicomplex. No. 2 is quite clear and simple, however. Oct 23, 2011

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‘semisimple’ has been looked up 184 times, added to 2 lists, commented on 1 time, and is not a valid Scrabble word.