Low-dimensional complex characters of the symplectic and orthogonal groups

Details Low-dimensional complex characters of the symplectic and orthogonal groups Low-dimensional complex characters of the symplectic and orthogonal groups

2009-10-26

arxiv.org/abs/0910.4885v1

Mathematics

Representation Theory

44 pages. Comm. Algebra, to appear

Scientific paper

We classify the irreducible complex characters of the symplectic groups
$Sp_{2n}(q)$ and the orthogonal groups $Spin_{2n}^\pm(q)$, $Spin_{2n+1}(q)$ of
degrees up to the bound D, where $D=(q^n-1)q^{4n-10}/2$ for symplectic groups,
$D=q^{4n-8}$ for orthogonal groups in odd dimension, and $D=q^{4n-10}$ for
orthogonal groups in even dimension.

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