12 papers
On Simply Connected Simple Lie Skew Braces with Nilpotent Multiplicative Group
Marco Damele, Andrea Loi
We prove that a simply connected simple Lie skew brace with nilpotent multiplicative Lie group must be one-dimensional and abelian. Equivalently, if is a simply c…
Sorting and Global Uniqueness in Two-Good HARA Economies with Many Patience Types
Andrea Loi, Stefano Matta
We study global uniqueness of competitive equilibrium in two-good pure-exchange economies with heterogeneous impatience types and a common HARA Bernoulli utility. The paper connect…
Curvature, Minimality and Uniqueness of Equilibrium
Andrea Loi, Stefano Matta
For a smooth pure exchange economy with fixed aggregate resources, we study two geometric conditions on the equilibrium manifold endowed with the metric induced from its Euc…
Solvability and Rigidity for Topological Skew Braces
Marco Damele, Andrea Loi
We study compact and locally compact topological analogues of the Byott--Vendramin solvability problem for finite skew braces, asking whether solvability of the additive group forc…
Topological and differentiable aspects of Clifford semigroups
Stefano Bonzio, Andrea Loi, Giuseppe Zecchini
This paper investigates the interplay between algebraic structure, topology, and differentiability in Clifford semigroups. The study is developed along three main themes. First, in…
On simple compact Lie skew braces
Marco Damele, Andrea Loi
We study simplicity of Lie skew braces from both global and infinitesimal perspectives. After reviewing the correspondence between connected Lie skew braces, simply transitive affi…