Jonathan Nilsson

activity

20122025

most citedSimple sl_{n+1}-module structures on U(h)

118 citations · 131 across the 6 of their papers we have counts for

collaborators

9 papers

math.RT2025

Lifting free modules to generalized Weyl algebras

Samuel A. Lopes, Jonathan Nilsson

We study modules over a generalized Weyl algebra $R (σ, a)$ which are free when restricted to the base ring $R$ . When $R$ is an integral domain, we construct all such finite-rank mod…

math.RT2019

Simple $sl (V)$ -modules which are free over an abelian subalgebra

Jonathan Nilsson

Let $p$ be a parabolic subalgebra of $sl (V)$ of maximal dimension and let $n \subset p$ be the corresponding nilradical. In this paper w…

math.RT2019

Gauge modules for the Lie algebras of vector fields on affine varieties

Yuly Billig, Jonathan Nilsson, André Zaidan

For a smooth irreducible affine algebraic variety we study a class of gauge modules admitting compatible actions of both the algebra $A$ of functions and the Lie algebra $\mathcal{…

math.RT2017

Representations of Lie algebras of vector fields on affine varieties

Yuly Billig, Vyacheslav Futorny, Jonathan Nilsson

For an irreducible affine variety $X$ over an algebraically closed field of characteristic zero we define two new classes of modules over the Lie algebra of vector fields on $X$ -…

math.RT2017

Representations of the Lie algebra of vector fields on a sphere

Yuly Billig, Jonathan Nilsson

For an affine algebraic variety $X$ we study a category of modules that admit compatible actions of both the algebra of functions on $X$ and the Lie algebra of vector fields on $X$ …

math.RT2015★ 2 cited

Generalized Verma modules over $\fr{sl}_{n+2}$ induced from $\ca{U}(\fr{h}_n)$-free $\fr{sl}_{n+1}$-modules

Yan-an Cai, Genqiang Liu, Jonathan Nilsson +1

A class of generalized Verma modules over $\fr{sl}_{n+2}$ is constructed from $\fr{sl}_{n+1}$-modules which are $\uhn$-free modules of rank $1$ . The necessary and sufficient condit…