Resumen de Prime ideals of skew PBW extensions

Oswaldo Lezama, Juan Pablo Acosta, Armando Reyes

• We describe the prime ideals of some important classes of skew PBW extensions, using the classical technique of extending and contracting ideals. Skew PBW extensions include as particular examples Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and their quantizations), Artamonov quantum polynomials, diffusion algebras, and Manin algebra of quantum matrices, among many others.