Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms

TL;DR

This paper proves the irreducibility of certain unitary representations of groups of symplectomorphisms and contactomorphisms, advancing understanding of their structure in geometric representation theory.

Contribution

It establishes the irreducibility of specific unitary representations for these transformation groups, a novel result in the field.

Findings

Proved irreducibility of some unitary representations

Enhanced understanding of symplectomorphism and contactomorphism groups

Contributed to geometric representation theory

Abstract

We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.