Orthogonal determinants of characters

Archiv der Mathematik, vol. 119, pp. 19–26

Abstract

Abstract For an irreducible orthogonal character $$\chi $$ χ of even degree, there is a unique square class $$\det ({\chi })$$ det ( χ ) in the character field such that the invariant quadratic forms in any L-representation affording $$\chi $$ χ have determinant in $$\det ({\chi })(L^{\times })^2$$ det ( χ ) ( L × ) 2 .

Authors 1

1. Gabriele Nebe corresponding Aachen Lehrstuhl für Algebra und Zahlentheorie

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl für Algebra und Zahlentheorie, RWTH Aachen University, 52056, Aachen, Germany