English

Discrete series Whittaker functions on $Spin(2n,2)$

Representation Theory 2014-07-22 v1

Abstract

Discrete series Whittaker functions on Spin(2n,2)Spin(2n, 2) are studied. The dimensions of the space of both algebraic and continuous Whittaker models are explicitly determined. They are described by a sum of dimensions of irreducible representations of Spin(2n3,2)Spin(2n-3, 2). Also obtained are the Mellin-Barnes type integral formulas of the Whittaker functions associated with minimal KK-type vectors.

Keywords

Cite

@article{arxiv.1010.2875,
  title  = {Discrete series Whittaker functions on $Spin(2n,2)$},
  author = {Kenji Taniguchi},
  journal= {arXiv preprint arXiv:1010.2875},
  year   = {2014}
}

Comments

38pages, no figure

R2 v1 2026-06-21T16:28:22.379Z