Results 31 to 40 of about 37,262 (107)

Half-BPS M2-brane orbifolds [PDF]

open access: yes, 2010
Smooth Freund-Rubin backgrounds of eleven-dimensional supergravity of the form AdS_4 x X^7 and preserving at least half of the supersymmetry have been recently classified.
de Medeiros, Paul   +1 more
core   +2 more sources

Noncommutative polygonal cluster algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg   +3 more
wiley   +1 more source

Double automorphisms of graded Lie algebras

open access: yes, 2012
We introduce the concept of a double automorphism of an A-graded Lie algebra L. Roughly, this is an automorphism of L which also induces an automorphism of the group A. It is clear that the set of all double automorphisms of L forms a subgroup in Aut(L).
Acciarri, Cristina, Shumyatsky, Pavel
core   +1 more source

Graphical small cancellation and hyperfiniteness of boundary actions

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We study actions of (infinitely presented) graphical small cancellation groups on the Gromov boundaries of their coned‐off Cayley graphs. We show that a class of graphical small cancellation groups, including (infinitely presented) classical small cancellation groups, admit hyperfinite boundary actions, more precisely, the orbit equivalence ...
Chris Karpinski   +2 more
wiley   +1 more source

Class-preserving automorphisms of universal hyperlinear groups [PDF]

open access: yes, 2013
We show that the group of class-preserving automorphisms of a universal hyperlinear group has index 2 inside the group of all automorphisms.Comment: 4 ...
Lupini, Martino
core  

Skein theory for the Links–Gould polynomial

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Building further on work of Marin and Wagner, we give a cubic braid‐type skein theory of the Links–Gould polynomial invariant of oriented links and prove that it can be used to evaluate any oriented link, adding this polynomial to the list of polynomial invariants that can be computed by skein theory. As a consequence, we prove that this skein
Stavros Garoufalidis   +5 more
wiley   +1 more source

Twisted Weyl groups of Lie groups and nonabelian cohomology

open access: yes, 2006
For a cyclic group $A$ and a connected Lie group $G$ with an $A$-module structure (with the additional conditions that $G$ is compact and the $A$-module structure on $G$ is 1-semisimple if $A\cong\ZZ$), we define the twisted Weyl group $W=W(G,A,T ...
An, Jinpeng
core   +2 more sources

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

Geometry of generated groups with metrics induced by their Cayley color graphs

open access: yes, 2019
Let $G$ be a group and let $S$ be a generating set of $G$. In this article, we introduce a metric $d_C$ on $G$ with respect to $S$, called the cardinal metric.
Suksumran, Teerapong
core   +1 more source

Uniform growth in small cancellation groups

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract An open question asks whether every group acting acylindrically on a hyperbolic space has uniform exponential growth. We prove that the class of groups of uniform uniform exponential growth acting acylindrically on a hyperbolic space is closed under taking certain geometric small cancellation quotients.
Xabier Legaspi, Markus Steenbock
wiley   +1 more source

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