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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
3
votes
0
answers
146
views
classifying pairs of idempotent matrices
though classifying pairs of matrices up to simultaneous conjugation is known to be wild, it seems to me a folklore that classifying pairs of idempotent matrices (up to simultaneous conjugation) is pos …
6
votes
2
answers
641
views
to test equivalence of representations under automorphism
Hi all,
I would like to propose the following problem:
Given two representations $\rho$ and $\tau$ of a group $G$ over complex number, we would like to know if there exists an automorphism $\phi$, s …
4
votes
1
answer
361
views
the number of indecomposable modules of finite groups over finite fields of a fixed dimension
I am interested in determining the the number of indecomposable modules of finite groups over finite fields of a fixed dimension. Specifically, I have the following conjecture:
Conjecture. Suppose we …