| Autor: |
ADRIAN, MOSHE, BAIYING LIU, STEVENS, SHAUN, GEO KAM-FAI TAM |
| Předmět: |
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| Zdroj: |
Proceedings of the American Mathematical Society, Series B; 2/20/2018, Vol. 5 Issue 2, p6-17, 12p |
| Abstrakt: |
We introduce a novel ultrametric on the set of equivalence classes of cuspidal irreducible representations of a general linear group GLN over a non-archimedean local field, based on distinguishability by twisted gamma factors. In the case that N is prime and the residual characteristic is greater than or equal to [N/2], we prove that, for any natural number i ≤ [N/2], there are pairs of cuspidal irreducible representations whose logarithmic distance in this ultrametric is precisely -i. This implies that, under the same conditions on N, the bound [N/2] in the Local Converse Theorem for GLN is sharp. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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