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Notes on Fock space

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arxiv 2211.12463 v2 pith:STYTYD3E submitted 2022-11-22 math.RT

Peter Tingley This is my paper
classification math.RT
keywords algebrafockspaceaffinealgebrasnotesvariousboson-fermion
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These notes are intended as a fairly self contained explanation of Fock space and various algebras that act on it, including a Clifford algebra, a Weyl algebra, an infinite rank matrix algebra, and an affine Kac-Moody algebra. We also discuss how the various algebras are related, and in particular describe the celebrated boson-fermion correspondence. We finish by briefly discussing a deformation of Fock space, which is a representation for the quantized universal enveloping algebra of affine sl(n).

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  1. An operational continuum limit of quantum combs

    quant-ph 2026-01 unverdicted novelty 8.0 of 10

    A continuous process tensor is defined by embedding the discrete multi-partite Choi matrix of a quantum comb into bosonic Fock space, closing the gap between discrete and continuum descriptions of multi-time quantum p...

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