Distinguished representations of $GL(n,\mathbb{C})$

Alexander Kemarsky

Distinguished representations of $GL(n,\mathbb{C})$

Representation Theory 2013-01-01 v1

Authors: Alexander Kemarsky

Abstract

Let $V$ be a $GL_n(\mathbb{R})$ -distinguished, irreducible, admissible representation of $GL_n(\mathbb{C})$ . We prove that any continuous linear functional on $V$ , which is invariant under the action of the real mirabolic subgroup, is automatically $GL_n(\mathbb{R})$ -invariant.

Keywords

representation theory of groups automorphic representations invariant theory

Cite

@article{arxiv.1212.6436,
  title  = {Distinguished representations of $GL(n,\mathbb{C})$},
  author = {Alexander Kemarsky},
  journal= {arXiv preprint arXiv:1212.6436},
  year   = {2013}
}

Comments

9 pages

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