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

Autor: Billig, Yuly, Nilsson, Jonathan, Zaidan, André
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $\mathcal{V}$ of vector fields on the variety. We prove that a gauge module corresponding to a simple $\mathfrak{gl}_N$-module is irreducible as a module over the Lie algebra of vector fields unless it appears in the de Rham complex.
Databáze: arXiv