English

Gaiotto Conjecture for $\mathrm{Rep}_q(\mathrm{F}(4))$

Representation Theory 2024-09-24 v2 Algebraic Geometry Quantum Algebra

Abstract

This paper is a part of the series proving the Gaiotto conjecture for basic classical quantum supergroups. The previous part arXiv:2107.02653 [math.RT] , arXiv:2306.09556 [math.RT], proved the Gaiotto conjecture for the general linear quantum supergroups Uq(gl(NM))U_q(\mathfrak{gl}(N|M)). Here we deal with the exceptional quantum supergroup Uq(f(4))U_q(\mathfrak{f}(4)).

Keywords

Cite

@article{arxiv.2406.05521,
  title  = {Gaiotto Conjecture for $\mathrm{Rep}_q(\mathrm{F}(4))$},
  author = {Michael Finkelberg and Roman Travkin and Ruotao Yang},
  journal= {arXiv preprint arXiv:2406.05521},
  year   = {2024}
}

Comments

v2: 50 pages, a reference added, notation improved

R2 v1 2026-06-28T16:58:18.812Z