Tootfinder

On UK left strategy.
James Schneider, Building the Party — Sidecar
https://newleftreview.org/sidecar/posts/building-the-party?pc=1693

James Schneider, Building the Party — Sidecar
An interview with James Schneider.

The flat semirings with nilpotent multiplicative reducts
Zidong Gao, Miaomiao Ren
https://arxiv.org/abs/2506.23047 https://arxiv.org/…

The flat semirings with nilpotent multiplicative reducts
In this paper, we focus on the variety $\mathbf{NF}_3$ generated by all flat semirings with $3$-nilpotent multiplicative reducts. By introducing graph semirings, we characterize all subdirectly irreducible members of $\mathbf{NF}_3$. We prove that the variety $\mathbf{NF}_3$ has uncountably many subvarieties and show that every finitely generated subvariety of $\mathbf{NF}_3$ is a Cross variety. Moreover, we demonstrate that $\mathbf{NF}_3$ has a unique limit subvariety, which is generated by a…

Truncated symbols of differential symmetry breaking operators
Toshihisa Kubo, V\'ictor P\'erez-Vald\'es
https://arxiv.org/abs/2506.23599 https:…

Truncated symbols of differential symmetry breaking operators
In this paper, we introduce the truncated symbol $\mathrm{symb}_0(\mathbb{D})$ of a differential symmetry breaking operator $\mathbb{D}$ between parabolically induced representations, which generalizes the symbol $\mathrm{symb}(\mathbb{D})$ for abelian nilpotent radicals to the non-abelian case. The inverse $\mathrm{symb}_0^{-1}$ of the truncated symbol map $\mathrm{symb}_0$ enables one to perform a recipe of the F-method for any nilpotent radical. As an application, we classify and construct…

"The current order is built on a triad of capital, the nation and the state. Our aim should be to replace it with a different one: the social, the international and the democratic..."
Great interview with James Schneider in Sidecar about the potential for the new party being established by Jeremy Corbyn and Zara Sultana.
#corbyn

James Schneider, Building the Party — Sidecar
An interview with James Schneider.

On indefinite Einstein solvmanifolds admitting a Killing spinor
Diego Conti, Federico A. Rossi, Romeo Segnan Dalmasso
https://arxiv.org/abs/2507.23714 https://

On indefinite Einstein solvmanifolds admitting a Killing spinor
Riemannian Einstein solvmanifolds can be described in terms of nilsolitons, namely nilpotent Lie groups endowed with a left-invariant Ricci soliton metric. This characterization does not extend to indefinite metrics; nonetheless, nilsolitons can be defined and used to construct Einstein solvmanifolds of a higher dimension in any signature. An Einstein solvmanifold obtained by this construction turns out to satisfy the pseudo-Iwasawa condition, meaning that its Lie algebra splits as the orthog…

A note on multivariate diam mean equicontinuity and frequent stability
Lino Haupt, Tobias J\"ager, Chunlin Liu
https://arxiv.org/abs/2506.23313 https:…

A note on multivariate diam mean equicontinuity and frequent stability
Let $(X,G)$ be a topological dynamical system, given by the action of a is a countable discrete infinite group on a compact metric space $X$. We prove that if $(X,G)$ is minimal, then it is either diam-mean $m$-equicontinuious or diam-mean $m$-sensitive. Similarly, $(X,G)$ is either frequently $m$-stable or strongly $m$-spreading. Further, when $G$ is abelian (or, more generally, virtually nilpotent), then the following statements are equivalent: $\bullet$ $(X,G)$ is a regular $m$-to-one exte…

On Zel'manov's global nilpotence theorem for Engel Lie algebras
Michael Vaughan-Lee
https://arxiv.org/abs/2507.21677 https://arxiv.org/pdf/2507.216…

On Zel'manov's global nilpotence theorem for Engel Lie algebras
I give a proof of Zel'manov's theorem that if $L$ is an $n$-Engel Lie algebra over a field $F$ of characteristic zero then $L$ is (globally) nilpotent. This is a very important result which extends Kostrikin's theorem that $L$ is locally nilpotent if the characteristic of $F$ is zero or some prime $p>n$. Zel'manov's proof contains some striking original ideas, and I wrote this note in an effort to understand his arguments. I hope that my efforts will be of use to other mathematicians in underst…

Geodesic orbit pseudo-Riemannian H-type nilmanifolds: case of minimal admissible Clifford modules
Kenro Furutani, Irina Markina, Yurii Nikonorov
https://arxiv.org/abs/2507.00470

Geodesic orbit pseudo-Riemannian H-type nilmanifolds: case of minimal admissible Clifford modules
We investigate the geodesic orbit property of pseudo-Riemannian nilmanifolds, specifically those known in the literature as pseudo $H$-type Lie groups -- i.e., 2-step nilpotent Lie groups of Heisenberg type equipped with a left invariant pseudo-Riemannian metric. The study of homogeneous geodesics on Riemannian $H$-type Lie groups was completed by C.~Riehm in 1984. In this work, we extend these results to the pseudo-Riemannian $H$-type Lie groups and provide a complete characterization of the g…

This https://arxiv.org/abs/2406.06819 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Classification of almost abelian Lie groups admitting left-invariant complex or symplectic structures
We classify the almost abelian Lie algebras $\mathfrak g_A=\mathbb R e_0 \ltimes_A \mathbb R^{2n-1}$ admitting complex or symplectic structures. The matrix $A\in M(2n-1,\mathbb R )$ encodes the adjoint action of $e_0$ on the abelian ideal $\mathbb R^{2n-1}$, and the existence of complex or symplectic structures on $\mathfrak g_A$ imposes restrictions on the Jordan normal form of $A$. The classification essentially reduces to the case when $A$ is nilpotent, so we start by considering this case. …

Nilpotent primitive linear groups over finite fields
A. S. Detinko, D. L. Flannery
https://arxiv.org/abs/2507.20628 https://arxiv.org/pdf/2507.20628…

Nilpotent primitive linear groups over finite fields
We provide a detailed structural description of the nilpotent primitive subgroups of $\mathrm{GL}(n, \mathbb{F})$, where $\mathbb{F}$ is a finite field.