Resumen de The -homology of representations

Tim Bratten

• The 𝔫 -homology groups of a 𝔤 -module provide a natural and fruitful extension of the concept of highest weight to the representation theory of a noncompact reductive Lie group. In this article we give an introduction to the 𝔫 -homology groups and a survey of some developments, with a particular emphasis on results pertaining to the problem of caculating 𝔫 -homology groups.