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Results tagged with rt.representation-theory
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user 37211
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
3
votes
1
answer
500
views
Is the linear span of irrep matrices a complete matrix basis?
Let $G$ be a finite or compact group and $\rho: G \to \mathrm{U}(d)$ a $d$-dimensional unitary representation of $G$. If $\rho$ is irreducible then the following seems to be true:
$$
\mathrm{span}_\ma …
- 499
4
votes
1
answer
527
views
The number of permutations of a given cycle type that fix a string with a given histogram
Let $\lambda$ and $\mu$ be partitions of some integer $n \geq 1$. Let $d$ be the number of parts in $\mu$ and let $\bar{\mu} \in \{1,\dotsc,d\}^n$ denote the string $1^{\mu_1} 2^{\mu_2} \dotsb d^{\mu_ …
- 499