English

On the existence of infinite-dimensional generalized harish-chandra modules

Representation Theory 2018-07-06 v1

Abstract

We prove a general existence result for infinite-dimensional admissible (g;k)-modules, where g is a reductive finite-dimensional complex Lie algebra and k is a reductive in g algebraic subalgebra.

Keywords

Cite

@article{arxiv.1807.02005,
  title  = {On the existence of infinite-dimensional generalized harish-chandra modules},
  author = {Ivan Penkov and Gregg Zuckerman},
  journal= {arXiv preprint arXiv:1807.02005},
  year   = {2018}
}
R2 v1 2026-06-23T02:51:56.991Z