Compute B matrix

SetDirectory["/www/user/fdahl/papers/Conjugation/"];
<<kappaLib.m

B=Table[Signature[{emOrd[i][[1]],emOrd[i][[2]],emOrd[j][[1]],emOrd[j][[2]]}],{i,1,6},{j,1,6}];

B//MatrixForm

Det[B]

In the proof of Theorem 3.2 we need to know that the spectrum of all F_i matrices are contained in {+1, -1}.

Eigenvalues[{{0,1},{1,0}}]

Eigenvalues[{{0,0,1},{0,1,0},{1,0,0}}]

Eigenvalues[{{0,0,0,1},{0,0,1,0},{0,1,0,0},{1,0,0,0}}]

Eigenvalues[{{0,0,0,0,1},{0,0,0,1,0},{0,0,1,0,0},{0,1,0,0,0},{1,0,0,0,0}}]

Eigenvalues[{{0,0,0,0,0,1},{0,0,0,0,1,0},{0,0,0,1,0,0},{0,0,1,0,0,0},{0,1,0,0,0,0},{1,0,0,0,0,0}}]

Write .pdf file

NotebookPrint[SelectedNotebook[],"/www/user/fdahl/papers/Conjugation/notebooks/computeBMatrix.pdf"]