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- W2525081513 abstract "Let $G$ be a reductive group scheme of type $A$ acting on a spherical scheme $X$. We prove that there exists a number $C$ such that the multiplicity $dim Hom(rho,mathbb{C}[X(F)])$ is bounded by $C$, for any finite field $F$ and any irreducible representation $rho$ of $G(F)$. We give an explicit bound for $C$. We conjecture that this result is true for any reductive group scheme and when $F$ ranges (in addition) over all local fields of characteristic $0$." @default.
- W2525081513 created "2016-10-07" @default.
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- W2525081513 date "2016-09-23" @default.
- W2525081513 modified "2023-09-27" @default.
- W2525081513 title "Bounds on multiplicities of spherical spaces over finite fields" @default.
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