English

Quiver Brascamp-Lieb inequalities

Classical Analysis and ODEs 2025-01-22 v2

Abstract

We formulate generalized Brascamp-Lieb inequalities for representations of bipartite quivers and establish necessary and sufficient conditions for such inequalities. Notably, we show contra Lieb that Gaussians do not saturate certain types of quiver Brascamp-Lieb inequalities.

Keywords

Cite

@article{arxiv.2402.14291,
  title  = {Quiver Brascamp-Lieb inequalities},
  author = {Nicholas Hu},
  journal= {arXiv preprint arXiv:2402.14291},
  year   = {2025}
}

Comments

11 pages; updated to match published version

R2 v1 2026-06-28T14:56:40.239Z