English

Whittaker functions on orthogonal groups of odd degree

Number Theory 2011-02-15 v1 Representation Theory

Abstract

We give explicit formulas for Whittaker functions for the class one principal series representations of the orthogonal groups SO2n+1(R) SO_{2n+1}(\R) of odd degree. Our formulas are similar to the recursive formulas for Whittaker functions on SLn(R)SL_n(\R) given by Stade and the author \cite{ISt}. Some parts of our results are announced in \cite{I3}.

Keywords

Cite

@article{arxiv.1102.2458,
  title  = {Whittaker functions on orthogonal groups of odd degree},
  author = {Taku Ishii},
  journal= {arXiv preprint arXiv:1102.2458},
  year   = {2011}
}