A Geometric Realization of Degenerate Principal Series Representations of Symplectic Groups

Do Ngoc Diep; Truong Chi Trung

A Geometric Realization of Degenerate Principal Series Representations of Symplectic Groups

Representation Theory 2014-06-09 v1 Symplectic Geometry

Authors: Do Ngoc Diep , Truong Chi Trung

Abstract

The multidimensional quantization procedure, proposed by the first author and its modifications (reduction to radicals and lifting on U(1)-coverings) give us a almost universal theoretical tools to find irreducible representations of Lie groups. By using this method and the root theory, we realize in this paper the representations of the degenerate principal series of symplectic groups.

Keywords

degenerate principal series symplectic groups geometric realization lie groups irreducible representations root theory

Cite

@article{arxiv.math/9809076,
  title  = {A Geometric Realization of Degenerate Principal Series Representations of Symplectic Groups},
  author = {Do Ngoc Diep and Truong Chi Trung},
  journal= {arXiv preprint arXiv:math/9809076},
  year   = {2014}
}

Comments

13 pages, AmS-LaTeX

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