TY - JOUR
T1 - Lift of the Trivial Representation to a Nonlinear Double Cover
AU - Tsai, Wan Yu
N1 - Publisher Copyright:
© 2022 The Author(s). Published by Oxford University Press. All rights reserved.
PY - 2023/3/1
Y1 - 2023/3/1
N2 - Let G be the nonlinear double cover of the real points of a connected, simply connected, semisimple complex group. In [16], we introduce a set of genuine small representations of G with infinitesimal character λ , denoted ∏ λ s (G). In this paper, we show that ρ 2s (\widetilde G) is precisely the set of genuine irreducible representations arising from the Kazhdan-Patterson lifting of the trivial representation, when G is simply laced and split.
AB - Let G be the nonlinear double cover of the real points of a connected, simply connected, semisimple complex group. In [16], we introduce a set of genuine small representations of G with infinitesimal character λ , denoted ∏ λ s (G). In this paper, we show that ρ 2s (\widetilde G) is precisely the set of genuine irreducible representations arising from the Kazhdan-Patterson lifting of the trivial representation, when G is simply laced and split.
UR - http://www.scopus.com/inward/record.url?scp=85152579129&partnerID=8YFLogxK
U2 - 10.1093/imrn/rnac009
DO - 10.1093/imrn/rnac009
M3 - 期刊論文
AN - SCOPUS:85152579129
SN - 1073-7928
VL - 2023
SP - 4887
EP - 4931
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 6
ER -