boundary conformal algebra 1carrollian physics 1infinite-dimensional lie algebras 1representation theory 1whittaker modules 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.RT2026
On the boundary Carrollian conformal algebra
Lucas Buzaglo, Xiao He, Tuan Anh Pham +3
The paper develops the mathematical theory of the boundary Carrollian conformal algebra (BCCA), constructing various modules, establishing irreducibility criteria, and introducing…
math.DS2026
Rational maps with Cantor bubble Julia sets
Xiaole He, Yingqing Xiao, Fei Yang
It has been shown that Cantor bubble Julia sets can appear in the dynamics of polynomials and their singular perturbations. In this paper, we present a criterion that guarantees th…
math.DS2025
Rational maps whose Julia sets are generalized SierpiÅski gaskets
Xiaole He, Yingqing Xiao, Fei Yang
It has been shown that the SierpiÅski gasket-like sets can appear as the Julia sets of some geometrically finite rational maps. In this paper we prove that such type of Julia sets…