Quivers and difference Painleve equations

Philip Boalch

Home/Archive/arXiv

arXiv · 0706.2634

Quivers and difference Painleve equations

Philip Boalch

View original source ↗Read source document ↗Export metadata ↓

Abstract

We will describe natural `Lax pairs' for the difference Painleve equations with affine Weyl symmetry groups of types E6, E7 and E8, showing that they do indeed arise as symmetries of certain Fuchsian systems of differential equations.

Explore related subjects

math.AG nlin.SI

Keep this discovery

Explore connections, maps & timelines

BibTeX RIS

Philip Boalch. 2007-12-06. Quivers and difference Painleve equations. https://arxiv.org/abs/0706.2634

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Lifting globally $F$-split surfaces to characteristic zero

We prove that every globally $F$-split surface admits an equisingular lifting over the ring of Witt vectors.

math.AG↗

arXiv2026

Chow rings of quasi-split geometrically almost simple algebraic groups

We compute the Chow ring of a quasi-split geometrically almost simple algebraic group assuming the coefficients to be a field. This extends the classical computation for split groups done by Kac to the non-split quasi-split case. For the proof we introduce and study equivariant conormed Chow rings, which are well adapted to the study of quasi-split groups and their homogeneous varieties.

math.AG↗

arXiv2026

The regular singular inverse problem in differential Galois theory

We show that every linear algebraic group over an algebraically closed field of characteristic zero is the differential Galois group of a regular singular linear differential equation with rational function coefficients.

math.AG↗