%0 Journal Article
%T On continuous cohomology of locally compact Abelian groups and bilinear maps
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Sahleh, H.
%D 2013
%\ 11/01/2013
%V 1
%N 1
%P 67-77
%! On continuous cohomology of locally compact Abelian groups and bilinear maps
%K Bilinear cohomology
%K central extension
%K nilpotent of class two
%R
%X Let $A$ be an abelian topological group and $B$ a trivial topological $A$-module. In this paper we define the second bilinear cohomology with a trivial coefficient. We show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. Also we show that in the category of locally compact abelian groups a central extension with a continuous section can be embedded in the second bilinear cohomology.
%U https://jart.guilan.ac.ir/article_46_2de2cc9120ea26c74a54f5b4acc2febf.pdf