English

The $(g,K)$-module structures of principal series representations of $Sp(3,R)$

Representation Theory 2007-06-04 v1 Number Theory

Abstract

We describe explicitly the whole structures of the (g,K)(g,K)-modules of principal series representations of Sp(3,R)Sp(3,R). We apply this result to determine the holonomic system characterizing those Whittaker functions.

Keywords

Cite

@article{arxiv.0706.0066,
  title  = {The $(g,K)$-module structures of principal series representations of $Sp(3,R)$},
  author = {Tadashi Miyazaki},
  journal= {arXiv preprint arXiv:0706.0066},
  year   = {2007}
}

Comments

100 pages