Endoscopic lifting of simple supercuspidal representations of unramified U(N) to GL(N)

Masao Oi

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arXiv · 1603.08316

Endoscopic lifting of simple supercuspidal representations of unramified U(N) to GL(N)

Masao Oi

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Abstract

Let U(N) be the quasi-split unitary group in N variables for a quadratic unramified extension of p-adic fields. We compute the characters of simple supercuspidal representations of twisted GL(N) and U(N). Comparing them by the endoscopic character relation, we determine the liftings of simple supercuspidal representations of U(N) to GL(N), under the assumption that p is not equal to 2.

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Masao Oi. 2016-03-28. Endoscopic lifting of simple supercuspidal representations of unramified U(N) to GL(N). https://arxiv.org/abs/1603.08316

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