Results 81 to 90 of about 178,877 (207)

A Superalgebra Within: Representations of Lightest Standard Model Particles Form a Z25$\mathbb {Z}_2^5$‐Graded Algebra

Annalen der Physik, Volume 537, Issue 12, December 2025.
 A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley   +1 more source

Notes on nilspaces: algebraic aspects

Discrete Analysis, 2017
Notes on nilspaces: algebraic aspects, Discrete Analysis 2017:15, 59 pp. One of the fundamental insights in modern additive combinatorics is that there is a hierarchy of notions of "pseudorandomness" or "higher order Fourier uniformity" that can be ...
Pablo Candela
doaj   +1 more source

On the solvability of the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ for blocks of finite groups

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We give some criteria for the Lie algebra HH1(B)$\mathrm{HH}^1(B)$ to be solvable, where B$B$ is a p$p$‐block of a finite group algebra, in terms of the action of an inertial quotient of B$B$ on a defect group of B$B$.
Markus Linckelmann, Jialin Wang
wiley   +1 more source

Semilinear equations on nilpotent Lie groups: global existence and blow-up of solutions

Le Matematiche, 1998
In this note we consider a semilinear Cauchy problem on a nilpotent Lie group. We extend a classical result by Fujita about the global existence and the blow-up of solutions.
Andrea Pascucci
doaj  

GL‐algebras in positive characteristic II: The polynomial ring

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley   +1 more source

Unitary Representations of Nilpotent Super Lie Groups [PDF]

Communications in Mathematical Physics, 2010
We show that irreducible unitary representations of nilpotent super Lie groups can be obtained by induction from a distinguished class of sub super Lie groups. These sub super Lie groups are natural analogues of polarizing subgroups that appear in classical Kirillov theory.
openaire   +2 more sources

Ricci-flat left-invariant Lorentzian metrics on 2-step nilpotent Lie groups

, 2014
The purpose of this paper is to investigate Ricci-flatness of left-invariant Lorentzian metrics on 2-step nilpotent Lie groups. We first show that if $\left\langle \, ,\right\rangle $ is a Ricci-flat left-invariant Lorentzian metric on a 2-step nilpotent
M. Guediri, Mona Bin-Asfour
semanticscholar   +1 more source

Existence of isoperimetric regions in sub-Finsler nilpotent groups

Analysis and Geometry in Metric Spaces
We consider a nilpotent Lie group with a bracket-generating distribution ℋ{\mathcal{ {\mathcal H} }} and an asymmetric left-invariant norm ∣⋅∣K{| \cdot | }_{K} induced by a convex body K⊆RkK\subseteq {{\mathbb{R}}}^{k} containing 0 in its interior.
Pozuelo Julián
doaj   +1 more source

Explicit Ricci Solitons on Nilpotent Lie Groups [PDF]

Journal of Geometric Analysis, 2011
24 pages, no figures; typos corrected and exposition ...
openaire   +3 more sources

Quiver subtraction on the Higgs branch

Nuclear Physics B
This paper classifies all Higgs branch Higgsing patterns for simply-laced unitary quiver gauge theories with eight supercharges (including multiple loops) and introduces a Higgs branch subtraction algorithm.
Sam Bennett, Amihay Hanany, Guhesh Kumaran, Chunhao Li, Deshuo Liu, Marcus Sperling   +5 more
doaj   +1 more source