Distinguished representations for SL(n)

U. K. Anandavardhanan; Dipendra Prasad

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arXiv · 1612.01076

Distinguished representations for SL(n)

U. K. Anandavardhanan·Dipendra Prasad

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Abstract

For $E/F$ a quadratic extension of local fields, and $\pi$ an irreducible admissible generic representation of $SL_n(E)$, we calculate the dimension of $Hom_{SL_n(F)}[\pi,C]$ and relate it to fibers of the base change map corresponding to base change of representations of $SU_n(F)$ to $SL_n(E)$ as suggested in a recent work of the second author. We also deal with finite fields.

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U. K. Anandavardhanan, Dipendra Prasad. 2016-12-04. Distinguished representations for SL(n). https://arxiv.org/abs/1612.01076

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