Loren Spice

collaborators

3 papers

math.RT2026

Explicit asymptotic expansions in p-adic harmonic analysis II

Loren Spice

We unwind the induction implicit in the "one-step" asymptotic expansions of arXiv:1701.02417 to describe how to turn asymptotic expansions, such as (but not limited to) the Harish-…

math.RT2026

Jordan decompositions in Lie algebras and their duals

Loren Spice, Cheng-Chiang Tsai

We provide a discussion of Jordan decompositions in the Lie algebra, and the dual Lie algebra, of a reductive group in as uniform a way as possible. We give a counterexample to the…

math.RT2025

On smooth-group actions on reductive groups and spherical buildings

Jeffrey D. Adler, Joshua M. Lansky, Loren Spice

Let $k$ be a field, and suppose that $I^$ is a smooth $k$ -group that acts on a connected, reductive $k$ -group $G$ . Let $G$ denote the maximal smooth, connected subgroup…