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- W2890889558 abstract "Recently, a strong exponential character bound has been established in [3] for all elements $g in mathbf{G}^F$ of a finite reductive group $mathbf{G}^F$ which satisfy the condition that the centraliser $C_{mathbf{G}}(g)$ is contained in a $(mathbf{G},F)$-split Levi subgroup $mathbf{M}$ of $mathbf{G}$ and that $mathbf{G}$ is defined over a field of good characteristic. In this paper, assuming a weak version of Lusztig's conjecture relating irreducible characters and characteristic functions of character sheaves holds, we considerably generalize this result by removing the condition that $mathbf{M}$ is split. This assumption is known to hold whenever $Z(mathbf{G})$ is connected or when $mathbf{G}$ is a special linear or symplectic group and $mathbf{G}$ is defined over a sufficiently large finite field." @default.
- W2890889558 created "2018-09-27" @default.
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- W2890889558 date "2018-09-01" @default.
- W2890889558 modified "2023-09-27" @default.
- W2890889558 title "Lusztig Induction, Unipotent Supports, and Character Bounds" @default.
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