Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
LCP
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"
Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"

Infinite dimensional irreducibility

Representation theory

Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows

Submitted (2023)

A. V. Kosyak, P. Moree

In representation theory, harmonic analysis for locally compact groups relies on the existence of the Haar measure. This measure exists only if a group is locally compact. Despite the absence of the Haar measure, in this paper we construct representations of infinite dimensional non-locally compact groups. Namely, we construct an analog of quasi-regular representations by using infinite products of Gaussian measures.

Submitted (2023)

A. V. Kosyak, P. Moree