Depth-zero representations of nonlinear covers of p-adic groups

Tatiana K. Howard; Martin H. Weissman

doi:10.1093/imrn/rnp076

Depth-zero representations of nonlinear covers of p-adic groups

Tatiana K. Howard, Martin H. Weissman

Research output: Contribution to journal › Article › peer-review

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Abstract

We generalize the methods of Moy-Prasad in order to define and study the genuine depth-zero representations of some nonlinear covers of reductive groups over p-adic local fields. In particular, we construct all depth-zero supercuspidal representations of the metaplectic group Mp2n over a p-adic field of odd residue characteristic.

Original language	English (US)
Pages (from-to)	3979-3995
Number of pages	17
Journal	International Mathematics Research Notices
Volume	2009
Issue number	21
DOIs	https://doi.org/10.1093/imrn/rnp076
State	Published - 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnp076

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title = "Depth-zero representations of nonlinear covers of p-adic groups",

abstract = "We generalize the methods of Moy-Prasad in order to define and study the genuine depth-zero representations of some nonlinear covers of reductive groups over p-adic local fields. In particular, we construct all depth-zero supercuspidal representations of the metaplectic group Mp2n over a p-adic field of odd residue characteristic.",

author = "Howard, {Tatiana K.} and Weissman, {Martin H.}",

note = "Funding Information: We appreciate the helpful feedback of the referees, which led to improvements in exposition and a few corrections. This work was partially supported by National Science Foundation grants [DMS-0502170 and DMS-0554278 to T.H.].",

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AU - Howard, Tatiana K.

AU - Weissman, Martin H.

N1 - Funding Information: We appreciate the helpful feedback of the referees, which led to improvements in exposition and a few corrections. This work was partially supported by National Science Foundation grants [DMS-0502170 and DMS-0554278 to T.H.].

PY - 2009

Y1 - 2009

N2 - We generalize the methods of Moy-Prasad in order to define and study the genuine depth-zero representations of some nonlinear covers of reductive groups over p-adic local fields. In particular, we construct all depth-zero supercuspidal representations of the metaplectic group Mp2n over a p-adic field of odd residue characteristic.

AB - We generalize the methods of Moy-Prasad in order to define and study the genuine depth-zero representations of some nonlinear covers of reductive groups over p-adic local fields. In particular, we construct all depth-zero supercuspidal representations of the metaplectic group Mp2n over a p-adic field of odd residue characteristic.

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DO - 10.1093/imrn/rnp076

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EP - 3995

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 21

ER -

Depth-zero representations of nonlinear covers of p-adic groups

Abstract

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