The local Ginzburg–Rallis model for generic representations

Chen Wan

doi:10.1016/j.jnt.2018.10.004

The local Ginzburg–Rallis model for generic representations

Chen Wan

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

2 Scopus citations

Abstract

We consider the local Ginzburg–Rallis model for generic representations. We prove that the summation of the multiplicities is always equal to 1 over every generic L-packet for the p-adic case and real case. This is a sequel work of [Wan15], [Wan16a] and [Wan16b] in which we considered the p-adic case and the real case for tempered representations, and considered the complex case for generic representations.

Original language	English (US)
Pages (from-to)	74-123
Number of pages	50
Journal	Journal of Number Theory
Volume	198
DOIs	https://doi.org/10.1016/j.jnt.2018.10.004
State	Published - May 2019
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Multiplicity one on Vogan packet
Representations of linear algebraic groups over local field

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10.1016/j.jnt.2018.10.004

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abstract = "We consider the local Ginzburg–Rallis model for generic representations. We prove that the summation of the multiplicities is always equal to 1 over every generic L-packet for the p-adic case and real case. This is a sequel work of [Wan15], [Wan16a] and [Wan16b] in which we considered the p-adic case and the real case for tempered representations, and considered the complex case for generic representations.",

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AB - We consider the local Ginzburg–Rallis model for generic representations. We prove that the summation of the multiplicities is always equal to 1 over every generic L-packet for the p-adic case and real case. This is a sequel work of [Wan15], [Wan16a] and [Wan16b] in which we considered the p-adic case and the real case for tempered representations, and considered the complex case for generic representations.

KW - Multiplicity one on Vogan packet

KW - Representations of linear algebraic groups over local field

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JF - Journal of Number Theory

ER -

The local Ginzburg–Rallis model for generic representations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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