Results 71 to 80 of about 9,331,100 (206)
Heights on ‘hybrid orbits’ in Shimura varieties
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]
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
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$\pi _\star S_{\mathchoice{{ C_{p^{n-1}}}}{{\textstyle C_{p^{n-1}}}}{{\scriptstyle C_{p^{n-1}}}}{{\scriptscriptstyle C_{p ...
William Balderrama +2 more
wiley +1 more source
Automorphisms of real Lie algebras of dimension five or less [PDF]
The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ +8 more
core +1 more source
Another proof of the persistence of Serre symmetry in the Frölicher spectral sequence
Serre’s duality theorem implies a symmetry between the Hodge numbers, hp,q = hn−p,n−q, on a compact complex n–manifold. Equivalently, the first page of the associated Frölicher spectral sequence satisfies dimE1p,q=dimE1n−p,n−q\dim E_1^{p,q} = \dim E_1^{n
Milivojević Aleksandar
doaj +1 more source
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
Functional central limit theorems on Lie groups: A survey [PDF]
The general solution of the functional central limit problems for triangular arrays of random variables with values in a Lie group is described. The role of processes of finite variation is clarified.
Gyula Pap, Pap, Gyula
core +1 more source
Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras
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$p$
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
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

