论文标题
关于Fock空间的笔记
Notes on Fock space
论文作者
论文摘要
这些注释旨在作为对fock空间和各种代数的相当自我的解释，包括克利福德代数，魏尔代数，无限的级别基质代数和仿射kac-moody代数。我们还讨论了各种代数如何相关，尤其是描述了著名的玻色剂 - 弗里米昂的信函。我们通过简要讨论Fock空间的变形来结束，这是量化仿射SL（N）的量化通用包围代数的表示形式。
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).
