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Abstract For each prime 𝑝 and each positive integer 𝑑, we construct the first examples of second countable, topologically simple 𝑝-adic Lie groups of dimension 𝑑 whose Lie algebras are abelian.This answers several questions of Glöckner and Caprace–Monod.The proof relies on a generalization of small cancellation methods that applies to central extensions of acylindrically hyperbolic groups.
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This content will become publicly available on May 1, 2026
Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups
- Award ID(s):
- 2406905
- PAR ID:
- 10609086
- Publisher / Repository:
- International Conference on Learning Representations
- Date Published:
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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