Avner Segal

activity

20122019

collaborators

6 papers

math.RT2019

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_…

math.RT2016

Poles of the Standard $L$ -function of $G_{2}$ and the Rallis-Schiffmann Lift

Nadya Gurevich, Avner Segal

We characterize the cuspidal representations of $G_{2}$ whose standard $L$ -function admits a pole at $s = 2$ as the image of Rallis-Schiffmann lift for the commuting pair $\l…

math.RT2012

Rankin-Selberg integral with Non-unique model for the standard L-function of $G_{2}$

Nadya Gurevich, Avner Segal

Let L^S(π,s,st) be a partial L-function of degree 7 of a cuspidal automorphic representation πof the exceptional group G_2. Here we construct a Rankin-Selberg integral for represen…

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 of the Standard L-function of G2​ and the Rallis-Schiffmann Lift

Rankin-Selberg integral with Non-unique model for the standard L-function of G2​

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

Poles of the Standard $L$ -function of $G_{2}$ and the Rallis-Schiffmann Lift

Rankin-Selberg integral with Non-unique model for the standard L-function of $G_{2}$