Avner Segal

activity

20122023

most citedThe Degenerate Principal Series Representations of Exceptional Groups of Type

E_{7}

over

p

-adic Fields

3 citations · 3 across the 10 of their papers we have counts for

collaborators

10 papers

math.RT2023

Poles, Residues and Siegel-Weil Identities of Degenerate Eisenstein Series on Split Exceptional Groups of Type $E_{n}$

Hezi Halawi, Avner Segal

This manuscript has two goals: 1. To write an explicit description of the degenerate residual spectrum of the split, simple, simply-connected, exceptional groups of type $E_{n}$ (for…

math.RT2022

The Degenerate Principal Series Representations of Exceptional Groups of Type $E_{8}$ over $p$ -adic Fields

Hezi Halawi, Avner Segal

In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type $E_{8}$ . Furthermore, we calculate the maximal semi-…

math.RT2019★ 3 cited

The Degenerate Principal Series Representations of Exceptional Groups of Type $E_{7}$ over $p$ -adic Fields

Hezi Halawi, Avner Segal

In this paper, we study the degenerate principal series of a split, simply-connected, simple p-adic group of type $E_{7}$ . We determine the points of reducibility and the maximal sem…

math.RT2018

The Structure of Degenerate Principal Series Representations of Exceptional Groups of Type $E_{6}$ over $p$ -adic Fields

Hezi Halawi, Avner Segal

In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type $E_{6}$ . Furthermore, we calculate the maximal semi-…

math.RT2018

Singularities of Intertwining Operators and Decompositions of Principal Series Representations

Taeuk Nam, Avner Segal, Lior Silberman

In this paper, we show that, under certain assumptions, a parabolic induction $I n d_{B}^{G} λ$ from the Borel subgroup $B$ of a (real or $p$ -adic) reductive group $G$ decomposes into a d…

math.RT2018

The Degenerate Residual Spectrum of Quasi-Split Forms of $S p i n_{8}$ Associated to the Heisenberg Parabolic Subgroup

Avner Segal

In \cite{MR3284482} and \cite{MR3658191}, the twisted standard $L$ -function $L (s, π, χ, s t)$ of a cuspidal representation $π$ of the exceptional group of type $G_…

Poles, Residues and Siegel-Weil Identities of Degenerate Eisenstein Series on Split Exceptional Groups of Type En​

The Degenerate Principal Series Representations of Exceptional Groups of Type E8​ over p-adic Fields

The Degenerate Principal Series Representations of Exceptional Groups of Type E7​ over p-adic Fields

The Structure of Degenerate Principal Series Representations of Exceptional Groups of Type E6​ over p-adic Fields

Singularities of Intertwining Operators and Decompositions of Principal Series Representations

The Degenerate Residual Spectrum of Quasi-Split Forms of Spin8​ Associated to the Heisenberg Parabolic Subgroup

Poles, Residues and Siegel-Weil Identities of Degenerate Eisenstein Series on Split Exceptional Groups of Type $E_{n}$

The Degenerate Principal Series Representations of Exceptional Groups of Type $E_{8}$ over $p$ -adic Fields

The Degenerate Principal Series Representations of Exceptional Groups of Type $E_{7}$ over $p$ -adic Fields

The Structure of Degenerate Principal Series Representations of Exceptional Groups of Type $E_{6}$ over $p$ -adic Fields

The Degenerate Residual Spectrum of Quasi-Split Forms of $S p i n_{8}$ Associated to the Heisenberg Parabolic Subgroup