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math.RT2018
The Structure of Degenerate Principal Series Representations of Exceptional Groups of Type over -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 . 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 from the Borel subgroup of a (real or -adic) reductive group decomposes into a d…
math.RT2018
The Degenerate Residual Spectrum of Quasi-Split Forms of Associated to the Heisenberg Parabolic Subgroup
Avner Segal
In \cite{MR3284482} and \cite{MR3658191}, the twisted standard -function of a cuspidal representation of the exceptional group of type $G_…