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We investigate the structure of graded commutative exponential functors. We give applications of these structure results, including computations of the homology of the symmetric groups and of extensions in the category of strict polynomial…

K-Theory and Homology · Mathematics 2020-02-18 Antoine Touzé

We classify certain non-symmetric commutative association schemes. As an application, we determine all the primitive weakly distance-regular circulant digraphs.

Combinatorics · Mathematics 2019-08-26 Akihiro Munemasa , Kaishun Wang , Yuefeng Yang

In this paper, we construct tools from the holomorphic twistor spaces that we introduced in \cite{Gindi1} to derive results about the complex geometries of their base manifolds. In particular, we develop a new approach to studying…

Differential Geometry · Mathematics 2018-11-22 Steven Gindi

We establish the choice property, a weak analogue of definable choice, for certain tame expansions of o-minimal structures. Most noteworthily, dense pairs of real closed fields have this property.

Logic · Mathematics 2017-08-15 Pantelis E. Eleftheriou , Ayhan Günaydın , Philipp Hieronymi

We introduce a minimal supersymmetric extension of a higgsless model for electroweak symmetry breaking in a warped extra dimension. In contrast to the non supersymmetric version, our model naturally contains a candidate for cold dark…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander Knochel , Thorsten Ohl

We give a characterisation of the weak* symmetric strong diameter 2 property for Lipschitz function spaces in terms of a property of the corresponding metric space. Using this characterisation we show that the weak* symmetric strong…

Functional Analysis · Mathematics 2019-08-28 Andre Ostrak

We compare existence and equivariance phenomena for weak moment maps and homotopy moment maps in multisymplectic geometry.

Differential Geometry · Mathematics 2020-03-24 Leyli Mammadova , Leonid Ryvkin

Extension of symplectic geometry on manifolds to the supersymmetric case is considered. In the even case it leads to the even symplectic geometry (or, equivalently, to the geometry on supermanifolds endowed with a non-degenerate Poisson…

High Energy Physics - Theory · Physics 2008-11-26 P. M. Lavrov , O. V. Radchenko

Lindel\"of spaces are studied in any basic Topology course. However, there are other interesting covering properties with similar behaviour, such as almost Lindel\"of, weakly Lindel\"of, and quasi-Lindel\"of, that have been considered in…

General Topology · Mathematics 2012-12-13 Petra Staynova

We study a special class of weakly associative algebras: the symmetric Leibniz algebras. We describe the structure of the commutative and skew symmetric algebras associated with the polarization-depolarization principle. We also give a…

Rings and Algebras · Mathematics 2020-08-04 Elisabeth Remm

In this article we consider the linear elasticity problem in an axisymmetric three dimensional domain, with data which are axisymmetric and have zero angular component. The weak formulation of the the three dimensional problem reduces to a…

Numerical Analysis · Mathematics 2020-12-30 Alistair Bentley , V. J. Ervin

We mainly introduce some weak versions of the $M_{1}$-spaces, and study some properties about these spaces. The mainly results are that: (1) If $X$ is a compact scattered space and $i(X)\leq 3$, then $X$ is an $s$-$m_{1}$-space; (2) If $X$…

General Topology · Mathematics 2013-02-19 Fucai Lin , Shou Lin

[1] investigates advanced connotations of Hardy and Rellich-type inequalities on complete noncompact Riemannian manifolds, delving on deriving inequalities that incorporate poignant weight functions. These inequalities prolongate classical…

Differential Geometry · Mathematics 2024-11-13 Shouvik Datta Choudhury

The Clifford pentad of the 4X4 matrices defines the 5-dimensional space. Each weak isospin transformation divides an electron on two components, which scatter in the 2-dimensional subspace and which indiscernible in the orthogonal…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gunn A. Quznetsov

In these notes, we study nonlinear embeddings between Banach spaces which are also weakly sequentially continuous. In particular, our main result implies that if a Banach space $X$ coarsely (resp. uniformly) embeds into a Banach space $Y$…

Functional Analysis · Mathematics 2017-10-24 Bruno de Mendonça Braga

Effective theories of a scalar $\phi$ invariant under the internal \textit{galileon symmetry} $\phi\to\phi+b_\mu x^\mu$ have been extensively studied due to their special theoretical and phenomenological properties. In this paper, we…

High Energy Physics - Theory · Physics 2015-09-16 David Pirtskhalava , Luca Santoni , Enrico Trincherini , Filippo Vernizzi

We introduce the notion of weakly K\"ahler hyperbolic manifold which generalizes that of K\"ahler hyperbolic manifold given in the early '90s by M. Gromov, and establish its basic features. We then investigate its spectral properties and…

Complex Variables · Mathematics 2023-11-20 Francesco Bei , Simone Diverio , Philippe Eyssidieux , Stefano Trapani

We show that infinitely many Gorenstein weakly-exceptional quotient singularities exist in all dimensions, we prove a weak-exceptionality criterion for five-dimensional quotient singularities, and we find a sufficient condition for being…

Algebraic Geometry · Mathematics 2012-05-25 Ivan Cheltsov , Constantin Shramov

In this paper we use a diffeo-geometric framework based on manifolds that are locally modeled on "convenient" vector spaces to study the geometry of some infinite dimensional spaces. Given a finite dimensional symplectic manifold…

Differential Geometry · Mathematics 2009-11-03 Brian Lee

Holomorphic (nondegenerate) mappings between complex manifolds of the same dimension are of special interest. For example, they appear as coverings of complex manifolds. At the same time they have very strong "extra" extension properties in…

Complex Variables · Mathematics 2008-11-11 S. Ivashkovich