会议专题

Coarse Embeddings and Cohomology of Heisenberg Group

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.

Coarse embedding Cohomology groups Negative define functions Heisenberg group

Jicheng Tao

Department of Mathematics, China Jiliang University, Hangzhou, 310018, China

国际会议

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

杭州

英文

153-155

2009-07-09(万方平台首次上网日期,不代表论文的发表时间)