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arXiv · 2111.06082

Orthogonal determinants of characters

Gabriele Nebe
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Abstract

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

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Gabriele Nebe. 2021-11-11. Orthogonal determinants of characters. https://arxiv.org/abs/2111.06082

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