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We will explain how some new algebraic solutions of the sixth Painlevé equation arise from complex reflection groups, thereby extending some results of Hitchin and Dubrovin-- Mazzocco for real reflection groups. The problem of finding explicit formulae for these solutions will be addressed elsewhere.

Paires duales réductives en caractéristique 2

Laure Blasco (1993)

Mémoires de la Société Mathématique de France

Pairs of symmetries of Riemann surfaces.

Izquierdo, Milagros, Singerman, David (1998)

Annales Academiae Scientiarum Fennicae. Mathematica

Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.

Stefan Bauer (1991)

Mathematische Annalen

Parabolic isometries of CAT(0) spaces and CAT(0) dimensions.

Fujiwara, Koji, Shioya, Takashi, Yamagata, Saeko (2004)

Algebraic & Geometric Topology

Parabolic subgroups with Abelian unipotent radical.

R. Richardson, G. Röhrle, R. Steinberg (1992)

Inventiones mathematicae

Parallelepipeds, nilpotent groups and Gowers norms

Bernard Host, Bryna Kra (2008)

Bulletin de la Société Mathématique de France

In his proof of Szemerédi’s Theorem, Gowers introduced certain norms that are defined on a parallelepiped structure. A natural question is on which sets a parallelepiped structure (and thus a Gowers norm) can be defined. We focus on dimensions $2$ and $3$ and show when this possible, and describe a correspondence between the parallelepiped structures and nilpotent groups.

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$p$ -adic completions and automorphisms of nilpotent groups

$p$ -groups, diagonalizable automorphisms and loops

$P$ -hypergoupes

$p i$ -группоиды и $p i$ -сети

$P$ -partitions and a multi-parameter Klyachko idempotent.

$P S L (3, q)$ and line-transitive linear spaces.

$P S p_{4}$ (3) as a symmetric (36, 15, 6)-design

p-adic deformations of cohomology classes of subgroups of GL (N,Z).

Painlevé equations and complex reflections

Paires duales réductives en caractéristique 2

Pairs of symmetries of Riemann surfaces.

Parabolic bundles, elliptic surfaces and SU (2)-representation spaces of genus zero Fuchsian groups.

Parabolic isometries of CAT(0) spaces and CAT(0) dimensions.

Parabolic subgroups with Abelian unipotent radical.

Parallelepipeds, nilpotent groups and Gowers norms

Paramedial groupoids

Parametrized braid groups of Chevalley groups.

Parastrophically Equivalent Quasigroup Equations

Parity of orthogonal automorphisms

Parity of orthogonal permutations

Currently displaying 1 – 20 of 326