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- W4308703430 abstract "Let $k$ be a number field, $mathbf{G}$ an algebraic group defined over $k$, and $mathbf{G}(k)$ the group of $k$-rational points in $mathbf{G}.$ We determine the set of functions on $mathbf{G}(k)$ which are of positive type and conjugation invariant, under the assumption that $mathbf{G}(k)$ is generated by its unipotent elements. An essential step in the proof is the classification of the $mathbf{G}(k)$-invariant ergodic probability measures on an adelic solenoid naturally associated to $mathbf{G}(k);$ this last result is deduced from Ratner's measure rigidity theorem for homogeneous spaces of $S$-adic Lie groups." @default.
- W4308703430 created "2022-11-14" @default.
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- W4308703430 date "2020-02-18" @default.
- W4308703430 modified "2023-10-02" @default.
- W4308703430 title "CHARACTERS OF ALGEBRAIC GROUPS OVER NUMBER FIELDS" @default.
- W4308703430 hasPublicationYear "2020" @default.
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