Representations of the Infinite-Dimensional $p$-Adic Affine Group
Representation Theory
2020-05-08 v2
Abstract
We introduce an infinite-dimensional -adic affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However it is possible to define its action on some classes of functions.
Keywords
Cite
@article{arxiv.1906.08964,
title = {Representations of the Infinite-Dimensional $p$-Adic Affine Group},
author = {Anatoly N. Kochubei and Yuri Kondratiev},
journal= {arXiv preprint arXiv:1906.08964},
year = {2020}
}
Comments
To appear in Infinite-Dimensional Analysis, Quantum Probability and Related Topics