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Results tagged with rt.representation-theory
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user 131358
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
2
votes
0
answers
56
views
Determining the groups compatible with given fusion rules
Say I have an unknown group $G$ with a simple, real, faithful representation $\mathbf n$ such that
$$ {\mathbf n}\otimes{\mathbf n} \approx {\mathbf 1}_s\oplus{\mathbf a}_s\oplus{\mathbf b}_s\oplus{\ …
- 275
4
votes
0
answers
139
views
Adjoint actions in abstract tensor categories
Say we have a Lie group $G$. The category of (finite, complex) representations $\mathsf{Rep}\,G$ contains the adjoint representation $\mathfrak{g}$ which has many special properties. For instance $\ma …
- 275