Revista de la Unión Matemática Argentina
versión On-line ISSN 1669-9637
BRATTEN, Tim. The -homology of representations. Rev. Unión Mat. Argent. [online]. 2008, vol.49, n.1, pp. 123-135. ISSN 1669-9637.
The -homology groups of a -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 -homology groups and a survey of some developments, with a particular emphasis on results pertaining to the problem of caculating -homology groups.