Jonathan Nilsson

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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 $X$ -…

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

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

Representations of Lie algebras of vector fields on affine varieties

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