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Results tagged with rt.representation-theory
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user 136343
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
10
votes
3
answers
744
views
Realizability of a real representation using real cyclotomic coefficients
Let $G$ be a finite group and $\rho: G \rightarrow GL(d,\mathbb{C})$ an irreducible representation with Frobenius-Schur indicator $\frac{1}{|G|}\sum_{g\in G} \operatorname{tr} \rho(g^2) = 1$. Thus $\r …
- 14k
4
votes
2
answers
364
views
Which dimensions exist for irreducible quaternionic-type real representations of finite groups?
I'm writing a software package to decompose group representations, and am struggling to find good examples of quaternionic-type representations of dimension > 4.
Reading MathOverflow, I found that th …
- 44.4k