boundary conformal algebra 1carrollian physics 1infinite-dimensional lie algebras 1lie algebras 1non-weight modules 1parabolic subalgebras 1representation theory 1universal enveloping algebra 1weight modules 1whittaker modules 1
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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.RT2026
-modules which are free over an abelian nilradical
Yang Chen, Haijun Tan, Lu Zhang
The paper classifies so_n(C)-modules that become free rank‑1 modules over the universal enveloping algebra of the abelian nilradical of a maximal parabolic subalgebra, showing they…