Results 91 to 100 of about 12,691,089 (279)
Some two-step and three-step nilpotent Lie groups with small automorphism groups [PDF]
, 2002 We construct examples of two-step and three-step nilpotent Lie groups whose automorphism groups are `small' in the sense of either not having a dense orbit for the action on the Lie group, or being nilpotent (the latter being stronger).
Dani, S. G.
core +2 more sources
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
The m$m$‐step solvable anabelian geometry of mixed‐characteristic local fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let K$K$ be a mixed‐characteristic local field. For an integer m⩾0$m \geqslant 0$, we denote by Km/K$K^m / K$ the maximal m$m$‐step solvable extension of K$K$, and by GKm$G_K^m$ the maximal m$m$‐step solvable quotient of the absolute Galois group GK$G_K$ of K$K$.
Seung‐Hyeon Hyeon
wiley +1 more source
ON CO-HOPFIAN NILPOTENT GROUPS [PDF]
Bulletin of the London Mathematical Society, 2003 We characterize co-Hopfian finitely generated torsion free nilpotent groups in terms of their Lie algebra automorphisms, and construct many examples of such groups.
openaire +4 more sources
$C^*$-algebras generated by projective representations of free nilpotent groups [PDF]
, 2013 We compute the two-cocycles (or multipliers) of the free nilpotent groups of class $2$ and rank $n$ and give conditions for simplicity of the corresponding twisted group $C^*$-algebras. These groups are representation groups for $\mathbb{Z}^n$ and can be
Tron Omland
semanticscholar +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
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
On finitely generated left nilpotent braces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract A description of finitely generated left nilpotent braces of class at most two is presented in this paper. The description heavily depends on the fact that if B$B$ is left nilpotent of class at most 2, that is B3=0$B^3 = 0$, then B$B$ is right nilpotent of class at most 3, that is B(4)=0$B^{(4)} = 0$. In addition, we construct a free object in
Hangyang Meng +3 more
wiley +1 more source
Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
Nilpotent groups of semilinear transformations which are monomial
Le Matematiche, 2008 Let H be a nilpotent subgroup of ΓL_n (q) = GL_n (q), where φ denotes the field automorfism induced by the Frobenius map. We give a condition on the primes dividing |H ∩ GL_n (q)| under which H is conjugate to a subgroup of the generalized monomial ...
Andrea Lucchini, M. Chiara Tamburini
doaj