On subgroups of the orthogonal group

@article{Obata1958OnSO,
  title={On subgroups of the orthogonal group},
  author={Morio Obata},
  journal={Transactions of the American Mathematical Society},
  year={1958},
  volume={87},
  pages={347-358}
}
  • M. Obata
  • Published 1 February 1958
  • Mathematics
  • Transactions of the American Mathematical Society
with a finite number of exceptions for the values of re. But it has not yet been made clear what values of re are exceptional. This note will give an answer to the analogous problem for a wider interval of the dimension of G. In §1 we shall explain some notations and then, in §2, a relation between irreducibility and absolute irreducibility will be discussed; especially a condition for a representation to be unitary symplectic will be given. In §3 we shall obtain inequalities concerning the… Expand
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1. The compact Lie group G is said to be a transformation group of the space TW or to act on the space W if the following conditions are satisfied: a) to every element g of G there is associated aExpand
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A class of ajfinely connected spaces
  • Trans. Amer. Math. Soc. vol
  • 1955