DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS

Abstract

Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur’s Galois deformation theory for representations with that property. We introduce an axiomatic definition of pseudorepresentations with such a property. Among other things, we show that pseudorepresentations with a property enjoy a good deformation theory, generalizing Ramakrishna’s theory to pseudorepresentations.

Keywords

• 11F70 (primary)
• 16R99
• 11S20 (secondary)