on continuous cohomology of locally compact abelian groups and bilinear maps
نویسندگان
چکیده
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.
منابع مشابه
On continuous cohomology of locally compact Abelian groups and bilinear maps
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 b...
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عنوان ژورنال:
journal of algebra and related topicsناشر: university of guilan
ISSN 2345-3931
دوره 1
شماره 1 2013
میزبانی شده توسط پلتفرم ابری doprax.com
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