# lie group representationの例文

- 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.