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math.AG2026
Matrix tuples with linearly dependent invariant subspaces
Tamás Bencze
The set of matrix tuples with invariant subspaces whose dimensions sum up to the dimension of the space, but which do not span the whole space form an algebraic hypersurface. We fo…
math.AG2024
The triangulant
Tamás Bencze, Péter E. Frenkel
We introduce the triangulant of two matrices, and relate it to the existence of orthogonal eigenvectors. We also use it for a new characterization of mutually unbiased bases. Gener…