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.
Sahleh, H. (2013). On continuous cohomology of locally compact Abelian groups and bilinear maps. Journal of Algebra and Related Topics, 1(1), 67-77.
MLA
H. Sahleh. "On continuous cohomology of locally compact Abelian groups and bilinear maps". Journal of Algebra and Related Topics, 1, 1, 2013, 67-77.
HARVARD
Sahleh, H. (2013). 'On continuous cohomology of locally compact Abelian groups and bilinear maps', Journal of Algebra and Related Topics, 1(1), pp. 67-77.
VANCOUVER
Sahleh, H. On continuous cohomology of locally compact Abelian groups and bilinear maps. Journal of Algebra and Related Topics, 2013; 1(1): 67-77.
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