Orthogonal Frobenius reciprocity,
J. Algebra (to appear)

Gabriele Nebe, 
Lehrstuhl B f\"ur Mathematik,
RWTH Aachen,
Templergraben 64,
52062 Aachen, Germany
URL:
http://samuel.math.rwth-aachen.de/~LBFM/gabi/


Abstract:
A quantitative version of Frobenius reciprocity for isometries is 
proved. It is applied to deduce recursion formulas for the 
rational class of some irreducible orthogonal modules of the symmetric groups.