Remarks on topological algebras
Remarks on topological algebras
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拓扑代数评论
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
A. Beilinson
中科院分区：
文献类型：
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作者：
A. Beilinson
该注解补充了[BD]中手性代数故事的“拓扑学”方面。在它的第一节(其中带有一点[G]的味道)，我们证明了基本的手征代数格式(手征运算等)。在拓扑线性代数的背景下有一个精确的类比。这特别提供了从[BD]3.6中手性代数到拓扑代数的段落的自然解释。第二节是基于[BD]3.9的精神，简要讨论了类似于手征微分算子环的拓扑代数。我们还更正了[BD]中的一些错误。
The note complements “topological” aspects of the chiral algebras story from [BD]. In its first section (which has a whiff of [G] in it) we show that the basic chiral algebra format (chiral operations, etc.) has a precise analog in the setting of topological linear algebra. This provides, in particular, a natural explanation of the passage from chiral to topological algebras from [BD] 3.6. The second section is a brief discussion, in the spirit of [BD] 3.9, of topological algebras similar to rings of chiral differential operators. We also correct some errors from [BD].