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Topics In Nonabelian Tensor Products Of Topological Groups
The well-known notion of tensor product is used to describe multilinear relations between objects and enjoys many applications in pure and applied mathematics. The tensor product has been studied extensively in linear algebra with generalisations to abstract abelian group theory and modules. In this...
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| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2022
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| Summary: | The well-known notion of tensor product is used to describe multilinear relations between objects and enjoys many applications in pure and applied mathematics. The tensor product has been studied extensively in linear algebra with generalisations to abstract abelian group theory and modules. In this MSc thesis we study further generalisations of tensor products to non-abelian groups as well as topological groups. We encounter a rich existing theory of compact topological groups, which we are going to investigate. Finally we consider some recent problems in the theory of nonabelian tensor products of topological groups, showing a series of relevant connections between algebraic topology, topological group theory, and homological algebra |
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