TEST VECTORS FOR LOCAL CUSPIDAL RANKIN–SELBERG INTEGRALS
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DOI: 10.1017/nmj.2017.32
Abstract: Let $\unicode[STIX]{x1D70B}_{1},\unicode[STIX]{x1D70B}_{2}$ be a pair of cuspidal complex, or $\ell$ -adic, representations of the general linear group of rank $n$ over a nonarchimedean local field $F$ of residual characteristic $p$ , different to $\ell$ .… read more here.
Keywords: cuspidal; unicode stix; rankin selberg; stix x1d70b ... See more keywords
Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case
Sign Up to like & getrecommendations! Published in 2019 at "Compositio Mathematica"
DOI: 10.1112/s0010437x19007486
Abstract: We show how the modular representation theory of inner forms of general linear groups over a non-Archimedean local field can be brought to bear on the complex theory in a remarkable way. Let $\text{F}$ be… read more here.
Keywords: langlands correspondence; jacquet langlands; unicode stix; correspondence ... See more keywords