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arXiv · 2106.00550

Potential applications of modular representation theory to quantum mechanics

Robert A. Wilson
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Abstract

There is a unique finite group that lies inside the 2-dimensional unitary group but not in the special unitary group, and maps by the symmetric square to an irreducible subgroup of the 3-dimensional real special orthogonal group. In an earlier paper I showed how the representation theory of this group over the real numbers gives rise to much of the structure of the standard model of particle physics, but with a number of added twists. In this theory the group is quantised, but the representations are not. In this paper I consider how a quantisation of the representations might lead to a more fundamental theory.

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Robert A. Wilson. 2021-07-26. Potential applications of modular representation theory to quantum mechanics. https://arxiv.org/abs/2106.00550

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