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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.
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Relationship between charges and representations of a group?
Representation of a group is a homomorphism from the group to the $GL(n,R)$. But I don't quite understand what is the charge of representation. Could someone explain?
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What is "spin" in spin representations?
When finding representations of Lorentz algebra let's say so(1,D-1), we can find some representations of this algebra using the Clifford algebra. I understand how to identify Weyl and Majorana represe …
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Fundamental representation and adjoint representation
Why fundamental representation and adjoint representations of Lie algebra are very important in physics?
What about the other representations of a given Lie algebra? Are they equally important or not? …