English

Jacquet modules of principal series generated by the trivial $K$-type

Representation Theory 2007-05-23 v2

Abstract

We propose a new approach for the study of the Jacquet module of a Harish-Chandra module of a real semisimple Lie group. Using this method, we investigate the structure of the Jacquet module of principal series representation generated by the trivial KK-type.

Keywords

Cite

@article{arxiv.math/0601462,
  title  = {Jacquet modules of principal series generated by the trivial $K$-type},
  author = {Noriyuki Abe},
  journal= {arXiv preprint arXiv:math/0601462},
  year   = {2007}
}

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18 pages