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The n-homology of representations.

By Tim Bratten, Facultad De Ciencias Exactas and Unicen T

Abstract

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.

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