50.12 Tensored

Tensored( chars1, chars2 )

returns the list of tensor products (i.e. pointwise products) of all characters in the list chars1 with all characters in the list chars2.

    gap> t:= CharTable( "A5" );;
    gap> chars1:= Sublist( t.irreducibles, [ 1 .. 3 ] );;
    gap> chars2:= Sublist( t.irreducibles, [ 2 .. 3 ] );;
    gap> Tensored( chars1, chars2 );
    [ [ 3, -1, 0, -E(5)-E(5)^4, -E(5)^2-E(5)^3 ],
      [ 3, -1, 0, -E(5)^2-E(5)^3, -E(5)-E(5)^4 ],
      [ 9, 1, 0, -2*E(5)-E(5)^2-E(5)^3-2*E(5)^4,
          -E(5)-2*E(5)^2-2*E(5)^3-E(5)^4 ], [ 9, 1, 0, -1, -1 ],
      [ 9, 1, 0, -1, -1 ],
      [ 9, 1, 0, -E(5)-2*E(5)^2-2*E(5)^3-E(5)^4, -2*E(5)-E(5)^2-E(5)^3
             -2*E(5)^4 ] ]

Note that duplicate tensor products are not deleted; the tensor product of chars1[i] with chars2[j] is stored at position (i-1) 'Length( <chars1> )' + j.

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