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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 …
Jimmy's user avatar
  • 565
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 …
Jimmy's user avatar
  • 565
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 …
Jimmy's user avatar
  • 565