ABSTRACTS その2

1941 Japanese Journal of Mathematics: Transactions and Abstracts  
The characters of the full orthogonal group 0(n) and the symplectic group Sp(nn were obtained by II. Weyl and enunciated as theorems in his book "The Classical Groups ". The present author makes out of these theorem rules of decompositions of characters of the groups 0(n) and Sp(n) into those of 0(n -1) and Sp(n-1) respectively. From his decomposition rule for 0 n) the author pro ceeds to obtain a decomposition rule of the irreducible representations of 0+(n), the proper orthogonal group, into those of 0(n-1).
doi:10.4099/jjm1924.18.0_a17 fatcat:uhd64ohyobdm7lp73hf3icosje