Results 71 to 80 of about 9,331,100 (206)

Heights on ‘hybrid orbits’ in Shimura varieties

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

An overview of free nilpotent Lie algebras [PDF]

open access: yes, 2014
Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras.
Benito, P., De-La-Concepción, D.
core   +2 more sources

Cpn$C_{p^n}$‐equivariant Mahowald invariants

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the Cpn$C_{p^n}$‐Mahowald invariant: a relation π★SCpn−1⇀π*S$\pi _\star S_{\mathchoice{{ C_{p^{n-1}}}}{{\textstyle C_{p^{n-1}}}}{{\scriptstyle C_{p^{n-1}}}}{{\scriptscriptstyle C_{p ...
William Balderrama   +2 more
wiley   +1 more source

Automorphisms of real Lie algebras of dimension five or less [PDF]

open access: yes, 2013
The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ   +8 more
core   +1 more source

Another proof of the persistence of Serre symmetry in the Frölicher spectral sequence

open access: yesComplex Manifolds, 2020
Serre’s duality theorem implies a symmetry between the Hodge numbers, hp,q = hn−p,n−q, on a compact complex n–manifold. Equivalently, the first page of the associated Frölicher spectral sequence satisfies dimE1p,q=dimE1n−p,n−q\dim E_1^{p,q} = \dim E_1^{n
Milivojević Aleksandar
doaj   +1 more source

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

open access: yesMathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río   +2 more
wiley   +1 more source

Functional central limit theorems on Lie groups: A survey [PDF]

open access: yes, 1998
The general solution of the functional central limit problems for triangular arrays of random variables with values in a Lie group is described. The role of processes of finite variation is clarified.
Gyula Pap, Pap, Gyula
core   +1 more source

Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña   +2 more
wiley   +1 more source

Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey   +3 more
wiley   +1 more source

Invariant solutions to the Strominger system and the heterotic equations of motion

open access: yesNuclear Physics B, 2017
We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ∇ε,ρ in the anomaly cancellation equation.
Antonio Otal   +2 more
doaj   +1 more source

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