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Results tagged with representation-theory
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user 136463
The systematic study of group representations, which describe abstract groups in terms of linear transformations of vector spaces, such that group elements or their generators are represented as matrices, reducing group-theoretic problems to linear-algebraic ones.
4
votes
Spin operators in QM
Both orbital angular momentum and spin are related to rotations in three dimensions. Their commutation relations can be derived from the properties of the group of rotations alone, so they should be e …
- 4,733
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What is meant by a vector representation?
A similar thing happens in mathematics as well. Although $V\otimes \cdots \otimes V \otimes V^* \otimes \cdots \otimes V^*$ is a vector space, in many contexts its elements are not called vectors but …
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