A stratification and smoothening method gives exact stable orbital integral formulas for gl2, gl3, and u2, and new lower bounds for all n.
Group schemes and local densities of quadratic lattices in residue characteristic 2
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Stable orbital integrals for classical Lie algebras and smooth integral models
A stratification and smoothening method gives exact stable orbital integral formulas for gl2, gl3, and u2, and new lower bounds for all n.