Some Algebraic Structure in the Dual of a Compact Group
Some Algebraic Structure in the Dual of a Compact Group
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紧群对偶中的一些代数结构
DOI：
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发表时间：
1968
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通讯作者：
R. Iltis
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作者：
R. Iltis
Throughout this paper, G will denote a compact (Hausdorff) topological group with identity e. When G is abelian, there is no difficulty in relating the group multiplication in G to the multiplication in the dual of G since characters are homomorphisms with respect to pointwise multiplication and pointwise multiplication of characters yields another character. However, in the non-abelian case, there are two multiplications associated with the dual of G: (1) representations are homomorphisms with respect to composition multiplication, and (2) the tensor product of representations yields another representation.
