On the signature character of representations of p-adic general linear groups

C. Boyallian; T. Wedhorn

On the signature character of representations of p-adic general linear groups

Representation Theory 2011-02-19 v1

Authors: C. Boyallian , T. Wedhorn

Abstract

In this article we calculate the signature character of certain Hermitian representations of $GL_N(F)$ for a $p$ -adic field $F$ . We further give a conjectural description for the signature character of unramified representations in terms of Kostka numbers.

Keywords

signature character hermitian representations p-adic general linear groups unramified representations kostka numbers

Cite

@article{arxiv.math/0404023,
  title  = {On the signature character of representations of p-adic general linear groups},
  author = {C. Boyallian and T. Wedhorn},
  journal= {arXiv preprint arXiv:math/0404023},
  year   = {2011}
}

Comments

41 pages

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