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math.RT2022
The 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.NT2022★ 1 cited
Poles of degenerate Eisenstein series and Siegel-Weil identities for exceptional split groups
Hezi Halawi
Let be a linear split algebraic group. The degenerate Eisenstein series associated to a maximal parabolic subgroup with the spherical section is stud…
math.NT2022
The Residual Spectrum of Arising from Degenerate Eisenstein Series
Hezi Halawi
Let be a split group of type defined over a number field. We study the square-integrable automorphic representations of that can be realized as leading terms of degen…