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Results tagged with rt.representation-theory
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user 36972
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
6
votes
2
answers
188
views
Counting adjoints in the symmetric or antisymmetric square of a Lie group representation
EDIT (November 1, 2022): Over the weekend I think I found a technique to determine the exact multiplicities, according to how conjugation acts on the fundamental weights. While I haven't done the pre …
- 630
3
votes
0
answers
422
views
Decomposition of a representation of SU(N) into representations of SU(N-1)
Let $\omega_k$ be the highest weight of the $k$-th antisymmetric representation of $\mathfrak{su}(N)$. Consider an irreducible representation of $\mathfrak{su}(N)$, characterized by its highest weigh …
- 630