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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.
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
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