Results 31 to 40 of about 1,765 (105)
A new mechanism for symmetry breaking from nilmanifolds
Journal of High Energy Physics, 2020 We present a method to obtain a scalar potential at tree level from a pure gauge theory on nilmanifolds, a class of negatively-curved compact spaces, and discuss the spontaneous symmetry breaking mechanism induced in the residual Minkowski space after ...
David Andriot +4 more
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Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds
Complex Manifolds, 2016 If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a ...
Yamada Takumi
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Linear correlations of multiplicative functions
Proceedings of the London Mathematical Society, Volume 121, Issue 2, Page 372-425, August 2020., 2020 Abstract We prove a Green–Tao type theorem for multiplicative functions.
Lilian Matthiesen
wiley +1 more source
Complex structures on the complexification of a real Lie algebra
Complex Manifolds, 2018 Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the ...
Yamada Takumi
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Duality of Hodge numbers of compact complex nilmanifolds
Complex Manifolds, 2015 A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.
Yamada Takumi
doaj +1 more source
Powers of sequences and recurrence [PDF]
, 2007 We study recurrence, and multiple recurrence, properties along the $k$-th powers of a given set of integers. We show that the property of recurrence for some given values of $k$ does not give any constraint on the recurrence for the other powers. This is
Frantzikinakis, Nikos +2 more
core +5 more sources
Harmonic analysis on nilmanifolds [PDF]
Transactions of the American Mathematical Society, 1970 We compute, using a device of A. Weil, an explicit decomposition of L 2 {L^2} of a nilmanifold into irreducible translation-invariant subspaces. The results refine previous work of C. C. Moore and L. Green.
openaire +1 more source
Symplectic harmonicity and generalized coeffective cohomologies [PDF]
, 2018 Relations between the symplectically harmonic cohomology and the coeffective cohomology of a symplectic manifold are obtained. This is achieved through a generalization of the latter, which in addition allows us to provide a coeffective version of the ...
Ugarte, Luis, Villacampa, Raquel
core +2 more sources
Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]
, 2017 We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections $\nabla^{\varepsilon,\rho}$ in the anomaly cancellation equation.
Otal, A., Ugarte, L., Villacampa, R.
core +4 more sources
MATRIX SPHERICAL ANALYSIS ON NILMANIFOLDS [PDF]
Transformation Groups, 2019 Given a nilpotent Lie group $N$, a compact subgroup $K$ of automorphisms of $N$ and an irreducible unitary representation $( ,W_ )$ of $K$, we study conditions on $ $ for the commutativity of the algebra of $\mathrm{End}(W_ )$-valued integrable functions on $N$, with an additional property that generalizes the notion of $K$-invariance.
Díaz Martín, R., Saal, L.
openaire +2 more sources