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On adelic model of boson Fock space

Mathematical Physics 2016-05-10 v2 math.MP Representation Theory

Abstract

We construct a canonical embedding of the Schwartz space on RnR^n to the space of distributions on the adelic product of all the pp-adic numbers. This map is equivariant with respect to the action of the symplectic group Sp(2n,Q)Sp(2n, Q) over rational numbers and with respect to the action of the rational Heisenberg group.

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Cite

@article{arxiv.math-ph/0606035,
  title  = {On adelic model of boson Fock space},
  author = {Neretin Yuri},
  journal= {arXiv preprint arXiv:math-ph/0606035},
  year   = {2016}
}

Comments

8pp