lie group representationの例文


  1. 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.
  2. 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.
  3. 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.


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