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Character values and conductors of low-rank groups of Lie type

math.RT · 2026-04-13 · unverdicted · novelty 5.0

In certain rank-1 groups of Lie type, the conductor c(χ) of an irreducible character equals c(χ(g)) for some single element g, and in quasisimple cases the field Q(χ) is generated by one value.

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  • Character values and conductors of low-rank groups of Lie type math.RT · 2026-04-13 · unverdicted · none · ref 14

    In certain rank-1 groups of Lie type, the conductor c(χ) of an irreducible character equals c(χ(g)) for some single element g, and in quasisimple cases the field Q(χ) is generated by one value.