Coarse Embeddings and Cohomology of Heisenberg Group

摘要：

In this paper, by using functions conditionally of negative type, we study the relationship between the coarse embeddability and cohomology of topological group G. We obtain that a topological group G with word length metric admits a coarse embedding into a Hilbert space and sup g∈G (l(g))=∞,then H1 (G,π)≠0 for some orthogonal representation π of G. By applying these result to integer Heisenberg group, we get that H1 (G,π)＝0 for some orthogonal representation π of integer Heisenberg group H.

关键词： Coarse embedding Cohomology groups Negative define functions Heisenberg group

作者: Jicheng Tao

作者单位: Department of Mathematics, China Jiliang University, Hangzhou, 310018, China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 153-155

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）