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cs.CC2025
The moment polytope of matrix multiplication is not maximal
Maxim van den Berg, Matthias Christandl, Vladimir Lysikov +3
Moment polytopes of tensors, the study of which is deeply rooted in invariant theory, representation theory and symplectic geometry, have found relevance in numerous places, from q…
cs.CC2024
Asymptotic tensor rank is characterized by polynomials
Matthias Christandl, Koen Hoeberechts, Harold Nieuwboer +2
Asymptotic tensor rank is notoriously difficult to determine. Indeed, determining its value for the matrix multiplication tensor would determine the matrix multiplicati…