场代数弱局部性与商空间的研究
On the Weak Locality of a Field Algebra and Its Quotient Space
DOI: 10.12677/PM.2019.99136, PDF,   
作者: 陈晓培, 王宪栋：青岛大学数学与统计学院，山东 青岛
关键词: 场代数；顶点代数；弱局部性；双边理想；商空间；Field Algebra； Vertex Algebra； Weak Locality； Bilateral Ideals； Quotient Space
摘要: 本文对场代数的弱局部性进行了研究，给出了一个具体的例子，用于比较算子的弱局部性与非局部性。对场代数关于其双边理想做商得到商空间，并探究了场代数商空间的若干基本性质。
Abstract: In this paper, we investigate the weak locality of a field algebra and give a concrete example which relates to weak locality and non-locality. The quotient space of a field algebra is obtained by its bilateral ideals. Finally, some theorems on the quotient space of a field algebra are explored.
文章引用：陈晓培, 王宪栋. 场代数弱局部性与商空间的研究[J]. 理论数学, 2019, 9(9): 1108-1113. https://doi.org/10.12677/PM.2019.99136

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