The n-homology of representations

TL;DR

This paper provides an introductory survey of n-homology groups in representation theory, emphasizing methods for calculating these groups and highlighting recent developments in the field.

Contribution

It offers an accessible overview of n-homology, consolidating various results and approaches, and serves as a resource for researchers interested in the computational aspects of n-homology.

Findings

Summarizes key results in n-homology calculations

Highlights recent advances in the field

Provides an accessible introduction to the topic

Abstract

This is an expository article, written for a special edition of the journal of the UMA (Union Matematica Argentina) commemorating the mathematician Misha Cotlar. The article gives an introduction to the n-homology groups and surveys some developments, with a particular emphasis on results pertaining to the problem of calculating n-homology groups.