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lie group representationの例文

例文モバイル版携帯版

  • The physical interpretation of the Lie algebra is that of infinitesimally small group transformations, and gauge bosons ( such as the graviton ) are Lie algebra representations, not Lie group representations.
  • For many applications, one does not need an explicit expression for this infinite sum, but merely assurance of its existence, like, for instance, in Lorentzian construction of a Lie group representation from a Lie algebra representation.
  • Lie's third theorem mentioned early then says that if G is the simply connected Lie group whose Lie algebra is \ mathfrak { g } then we have a natural bijection between Lie group representations of G and Lie algebra representations of \ mathfrak { g } for each dimension.