jaj•a•person's notes

  • Alternating multilinear map
  • Properties

Linear algebra MOC

Alternating multilinear map

An alternating multilinear map is a Multilinear map with all arguments in the same vector space which yields the zero vector if any arguments equal. linalg

Properties

  • Alternating implies anticommutative
  • Alternating iff anticommutative away from 2


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Backlinks

  • Affine Lie algebra
  • Alternating iff anticommutative away from 2
  • Associated Lie algebra of a positive definite even lattice
  • Central extension of an abelian group
  • Commutator
  • Correspondence between quadratic forms and alternating bilinear forms at 2
  • Cyclic central extension of a free abelian group
  • Even lattice
  • Exterior algebra
  • Formal sums over a Lie algebra
  • Heisenberg algebra
  • Lie algebra ideal
  • Lie algebra
  • Virasoro algebra

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