Mathematics > Representation Theory
[Submitted on 22 Nov 2022 (v1), last revised 17 Oct 2023 (this version, v2)]
Title:Notes on Fock space
View PDFAbstract: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).
Submission history
From: Peter Tingley [view email][v1] Tue, 22 Nov 2022 18:20:32 UTC (15 KB)
[v2] Tue, 17 Oct 2023 17:05:18 UTC (18 KB)
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