Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Segal, Avner"'
Autor:
Halawi, Hezi, Segal, Avner
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 $n=6,7,8$). 2. To set a practical guide for similar calculations and,
Externí odkaz:
http://arxiv.org/abs/2312.01686
Autor:
Halawi, Hezi, Segal, Avner
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-simple subrepresentation and quotient of these representations for alm
Externí odkaz:
http://arxiv.org/abs/2206.05667
Autor:
Halawi, Hezi, Segal, Avner
Publikováno v:
Pacific J. Math. 310 (2021) 115-157
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 semi-simple subrepresentation at each point.
Externí odkaz:
http://arxiv.org/abs/1911.12570
Autor:
Halawi, Hezi, Segal, Avner
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-simple subrepresentation and quotient of these representations.
Externí odkaz:
http://arxiv.org/abs/1811.02974
In this paper, we show that, under certain assumptions, a parabolic induction $Ind_B^G\lambda$ from the Borel subgroup $B$ of a (real or $p$-adic) reductive group $G$ decomposes into a direct sum of the form: \[ Ind_B^G\lambda = \left(Ind_P^G St_M\ot
Externí odkaz:
http://arxiv.org/abs/1811.00803
Autor:
Segal, Avner
In \cite{MR3284482} and \cite{MR3658191}, the twisted standard $\mathcal{L}$-function $\mathcal{L}(s,\pi,\chi,st)$ of a cuspidal representation $ \pi$ of the exceptional group of type $G_2$ was shown to be represented by a family of new-way Rankin-Se
Externí odkaz:
http://arxiv.org/abs/1804.08849
Autor:
Gurevich, Nadya, Segal, Avner
We characterize the cuspidal representations of $G_2$ whose standard $\mathcal{L}$-function admits a pole at $s=2$ as the image of Rallis-Schiffmann lift for the commuting pair $\left(\widetilde{SL_2}, G_2\right)$ in $\widetilde{Sp_{14}}$. The image
Externí odkaz:
http://arxiv.org/abs/1606.09069
Autor:
Segal, Avner
In previews works, joint with N. Gurevitch, a family of Rankin-Selberg integrals were shown to represent the twisted standard $\mathcal{L}$-function $\mathcal{L}\left(s,\pi,\chi,\mathfrak{st}\right)$ of a cuspidal representation $ \pi$ of the excepti
Externí odkaz:
http://arxiv.org/abs/1602.01610
Autor:
Segal, Avner
Let $\mathcal{L}^{S}\left(s,\pi,\chi,\operatorname{\mathfrak{st}}\right)$ be a standard twisted partial $\mathcal{L}$-function of degree $7$ of the cuspidal automorphic representation $\pi$ of the exceptional group of type $G_2$. In this paper we con
Externí odkaz:
http://arxiv.org/abs/1501.05558
Autor:
SEGAL, AVNER
Publikováno v:
Transactions of the American Mathematical Society, 2019 Nov 01. 3729 (1024), 6703-6754.
Externí odkaz:
https://www.jstor.org/stable/26841792
