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Results tagged with rt.representation-theory
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user 157261
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
12
votes
Accepted
Sequence of epimorphisms of residually finite groups stabilizes
The answer is "no". The lamplighter group (which is infinitely presented) is a limit of a sequence of virtually free groups and surjective homomorphisms (see, for example, this question and answers th …
- 1,832
1
vote
Simultaneous similarity of pair of matrices
So let me try to give a definite answer. We have a non-zero system of linear homogeneous equations $\Sigma$ in $n^2$ variables $x_{ij}$ having an infinite set of solutions and the matrix $M=((x_{ij})) …
- 1,832
1
vote
Simultaneous similarity of pair of matrices
First find an invertible matrix $C$ conjugating $A$ to $A'$ (I assume you can do that in polynomial time). Consider $E=CBC^{-1}$. It remains to find an invertible $D$ which commutes with $A'$ and conj …
- 1,832