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math.NT2024
Stable orbital integrals for classical Lie algebras and smooth integral models
Sungmun Cho, Taeyeoup Kang, Yuchan Lee
A main goal of this paper is to introduce a new description of the stable orbital integral for a regular semisimple element and for the unit element of the Hecke algebra in the cas…
math.NT2024
Orbital integrals and ideal class monoids for a Bass order
Sungmun Cho, Jungtaek Hong, Yuchan Lee
A Bass order is an order in a number field for which every fractional ideal can be generated by two elements. Examples include quadratic orders, orders containing the maximal order…
math.NT2024
An explicit formula for the orbital integrals on the spherical Hecke algebra of
Sungmun Cho, Yuchan Lee
We provide the explicit formula for orbital integrals associated with elliptic regular semisimple elements in and associated with…