![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
LCP
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
![Image for the paper "Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows"](/media/qb8qrwbyvwl2n6ij.png)
Infinite dimensional irreducibility
Representation theory
Irreducibility of the Koopman representations for the group GL0(2∞,R), acting on three infinite rows
Submitted (2023)
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)