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Commit 2020-05-01 15:51 4daa7e8f

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feat(algebra/lie_algebra): define simple Lie algebras and define classical Lie algebra, slₙ (#2567) The changes here introduce a few important properties of Lie algebras and also begin providing definitions of the classical Lie algebras. The key changes are the following definitions:

  • lie_algebra.is_abelian
  • lie_module.is_irreducible
  • lie_algebra.is_simple
  • lie_algebra.special_linear.sl Some simple related proofs are also included such as:
  • commutative_ring_iff_abelian_lie_ring
  • lie_algebra.special_linear.sl_non_abelian

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