The local ginzburg-rallis model over the complex field

Chen Wan

doi:10.2140/pjm.2017.291.241

The local ginzburg-rallis model over the complex field

Chen Wan

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

4 Scopus citations

Abstract

We consider the local Ginzburg-Rallis model over the complex field. We show that the multiplicity is always 1 for a majority of generic representations. We also have partial results on the real case for general generic representations. This is a continuation of our previous work in which we considered the p-adic case and the real case for tempered representations.

Original language	English (US)
Pages (from-to)	241-256
Number of pages	16
Journal	Pacific Journal of Mathematics
Volume	291
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2017.291.241
State	Published - 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

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

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10.2140/pjm.2017.291.241

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abstract = "We consider the local Ginzburg-Rallis model over the complex field. We show that the multiplicity is always 1 for a majority of generic representations. We also have partial results on the real case for general generic representations. This is a continuation of our previous work in which we considered the p-adic case and the real case for tempered representations.",

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AB - We consider the local Ginzburg-Rallis model over the complex field. We show that the multiplicity is always 1 for a majority of generic representations. We also have partial results on the real case for general generic representations. This is a continuation of our previous work in which we considered the p-adic case and the real case for tempered representations.

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KW - Representations of linear algebraic groups over archimedean local field

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The local ginzburg-rallis model over the complex field

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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