On induced locally analytic representations of locally analytic groups

Anton Lyubinin

On induced locally analytic representations of locally analytic groups

Representation Theory 2013-09-04 v3 Number Theory

Authors: Anton Lyubinin

Abstract

Let G be a locally analytic group and H < G - a locally analytic subgroup. The main result is the condition (similar to Frommer-Orlik-Strauch theorem) for induction of locally analytic H-representation to G to be irreducible. Also this paper contains a (new) series of locally analytic representations which do not arise in this way.

Keywords

locally analytic groups induced representations irreducibility locally analytic representations Frommer-Orlik-Strauch theorem

Cite

@article{arxiv.0909.0570,
  title  = {On induced locally analytic representations of locally analytic groups},
  author = {Anton Lyubinin},
  journal= {arXiv preprint arXiv:0909.0570},
  year   = {2013}
}

Comments

This paper has been withdrawn by the author due a crucial error which cannot be repaired immediately

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