English

The triangulant

Algebraic Geometry 2024-06-21 v1 Rings and Algebras

Abstract

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. Generalizing the notion, we introduce higher order triangulants of two matrices, and relate them to the existence of nontrivially intersecting invariant subspaces of complementary dimensions.

Keywords

Cite

@article{arxiv.2406.13421,
  title  = {The triangulant},
  author = {Tamás Bencze and Péter E. Frenkel},
  journal= {arXiv preprint arXiv:2406.13421},
  year   = {2024}
}

Comments

16 pages

R2 v1 2026-06-28T17:11:56.174Z