量子de Rham复形

中山大学学报自然科学版 ›› 2010, Vol. 49 ›› Issue (2): 145-147.

量子de Rham复形

简润强

(中山大学数学系，广东广州 510275)

收稿日期:2008-12-23 修回日期:1900-01-01 出版日期:2010-03-25 发布日期:2010-03-25

Quantum de Rham Complex

Jian Runqiang

(Department of Mathematics, Sun Yatsen University, Guangzhou 510275, China)

Received:2008-12-23 Revised:1900-01-01 Online:2010-03-25 Published:2010-03-25

摘要/Abstract

摘要： 量子de Rham复形首先由Woronowicz所构造并进行研究，它是李群上de Rham复形的量子化，是非交换微分几何中主要研究对象之一。研究了量子de Rham上同调的余模结构和相应性质，并发现了量子de Rham双复形的一个消没定理。

关键词: 量子de Rham上同调, 余模代数, 消没定理

Abstract: Quantum de Rham complex was first constructed and studied by Woronowicz. It is the quantization of the de Rham complex on Lie groups. It is one of the main objects being studied in noncommutative differential geometry. The comodule structure of the quantum de Rham cohomology and other properties are discussed. And a vanishing theorem of the quantum de Rham bicomplex is proved.

Key words: quantum de Rham cohomology, comodulealgebra, vanishing theorem

中图分类号:

简润强. 量子de Rham复形[J]. 中山大学学报自然科学版, 2010, 49(2): 145-147.

Jian Runqiang. Quantum de Rham Complex[J]. , 2010, 49(2): 145-147.