On the classification of unstable H*V-A-modules

TL;DR

This paper investigates the classification of certain unstable modules over the algebra H*V-A, focusing on modules that become isomorphic to a specified unstable A-module after tensoring with F_2.

Contribution

It introduces a classification framework for unstable H*V-A-modules up to isomorphism, extending understanding of their structure and relationships.

Findings

Established criteria for isomorphism classes of these modules

Provided a classification scheme for modules over H*V-A

Connected module classification to known unstable A-modules

Abstract

In this work, we begin studying the classification, up to isomorphism, of unstable H*V-A-modules E such that the tensor product of F_2 and E over H*V is isomorphic to a given unstable A-module.