Note 1 to entry: For an orthogonal matrix with elements Aij:
∑ i A ij A ik = δ jk MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaaqafabaGaamyqam aaBaaaleaacaWGPbGaamOAaaqabaaabaGaamyAaaqab0GaeyyeIuoa kiaadgeadaWgaaWcbaGaamyAaiaadUgaaeqaaOGaeyypa0dcdaGae8 hTdq2aaSbaaSqaaiaadQgacaWGRbaabeaaaaa@4642@ and ∑ k A ik A jk = δ ij MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaaqafabaGaamyqam aaBaaaleaacaWGPbGaam4AaaqabaaabaGaam4Aaaqab0GaeyyeIuoa kiaadgeadaWgaaWcbaGaamOAaiaadUgaaeqaaOGaeyypa0dcdaGae8 hTdq2aaSbaaSqaaiaadMgacaWGQbaabeaaaaa@4644@
where δjk and δij are Kronecker deltas.