A comparison theorem for Lie algebra homology groups

@article{Bratten1998ACT,
  title={A comparison theorem for Lie algebra homology groups},
  author={Tim Bratten},
  journal={Pacific Journal of Mathematics},
  year={1998},
  volume={182},
  pages={23-36}
}
  • Tim Bratten
  • Published 1998
  • Mathematics
  • Pacific Journal of Mathematics
Let M be a Harish-Chandra module associated to a nite length, admissible representation of real reductive Lie group G0. Suppose thatp is a parabolic subalgebra of the complexied Lie algebra of G0 and let n p be the nil radical of p. In this paper, motivated by some recent work in the study of zeta functions on locally symmetric spaces, we make a comparison between homological properties of M and homological properties of the minimal globalization of M. In particular, if p has a real Levi factor… 
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