# On induced locally analytic representations of locally analytic groups

## TL;DR

This paper establishes conditions under which induced locally analytic representations of a subgroup are irreducible and introduces new locally analytic representations not obtainable through induction.

## Contribution

It provides a criterion for irreducibility of induced representations and presents new examples of locally analytic representations outside this framework.

## Key findings

- Induction criterion for irreducibility of locally analytic representations
- New series of locally analytic representations not induced from subgroups
- Extension of the Frommer-Orlik-Strauch theorem

## 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.

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Source: https://tomesphere.com/paper/0909.0570