Strassen $2\times2$ Matrix Multiplication from a 3-dimensional Volume Form
Data Structures and Algorithms
2026-01-05 v2 Computational Complexity
Abstract
The Strassen matrix multiplication algorithm arises from the volume form on the 3-dimensional quotient space of the matrices by the multiples of identity.
Keywords
Cite
@article{arxiv.2507.13510,
title = {Strassen $2\times2$ Matrix Multiplication from a 3-dimensional Volume Form},
author = {Benoit Jacob},
journal= {arXiv preprint arXiv:2507.13510},
year = {2026}
}
Comments
13 pages. v2: fixed a glitch in the proof of Lemma 9 and some typographical tweaks