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Schurity of S-rings over a cyclic group and generalized wreath product of permutation groups
Schurity of S-rings cyclic group generalized wreath product of permutation groups
2011/2/25
The generalized wreath product of permutation groups is intro-duced. By means of it we study the schurity problem for S-rings over a cyclic group G and the automorphism groups of them.
Disordered, Quasicrystalline and Crystalline Phases of Densely Packed Tetrahedra
Disordered Quasicrystalline Crystalline Phases Densely Packed Tetrahedra
2011/3/3
Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts.Firstly as field theories on noncommutat...
The bounded spherical functions for the free two step nilpotent Lie group
nilpotent Lie group representation theory spherical function
2011/1/19
In this paper, we give the expressions for the bounded spherical functions, or equivalently the spherical functions of positive type, for the free two-step nilpotent Lie groups endowed with the action...
Exceptional collections on toric Fano threefolds and birational geometry
Exceptional collections toric Fano threefolds birational geometry
2011/2/22
Bernardi and Tirabassi show the existence of a full strong excep-tional collection consisting of line bundles on smooth toric Fano 3-folds under assuming Bondal’s conjecture, which states that the Fro...
Circular planar nearrings: geometrical and combinatorial aspects
Planar nearring BIBD Circular Disk Field
2011/1/18
Let (N, Φ) be a circular Ferrero pair. We define the disk with center b and radius a, D(a; b), as D(a; b) = {x ∈ Φ(r) +c | r 6= 0, b ∈ Φ(r) +c, |(Φ(r) +c) ∩ (Φ(a)+b)| = 1}.We prove that in the field-g...
The number of convex pentagons and hexagons in an $n$-triangular net
n-triangular net convex pentagon convex hexagon regular hexagon
2011/2/22
In this paper, we obtain the counting formulaes of convex pentagons and convex hexagons, respectively, in an n-triangular net by solving the corresponding recursive formulaes.
Effective Action and Phase Transitions in Thermal Yang-Mills Theory on Spheres
Confinement Nonperturbative Effects QCD
2011/3/2
We study the covariantly constant Savvidy-type chromomagnetic vacuum in finite-temperature
Yang-Mills theory on the four-dimensional curved spacetime. Motivated by the fact that a positive spatial cu...
Petrov-Galerkin Finite Volumes
Finite volumes mixed finite elements Petrov-Galerkin variational formulation
2011/1/19
For an elliptic problem with two space dimensions, we propose to formulate the finite volume method with the help of Petrov-Galerkin mixed finite elementsthat are based on the building of a dual Ravia...
Fourth order curvature flows and geometric applications
Fourth order curvature flows geometric applications
2011/1/17
We study a class of fourth order curvature flows on a compact Riemannian manifold, which
includes the gradient flows of a number of quadratic geometric functionals, as for instance the
L2 norm of th...
Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements
hyperplane arrangement Milnor fiber monodromy polynomial-count
2011/1/19
A necessary and sufficient condition for the triviality of the Milnor monodromy of a central hyperplane arrangement is given. This is a consequence of a Thom-Sebastiani type result, where the sum of h...
Restriction and spectral multiplier theorems on asymptotically conic manifolds
Restriction spectral multiplier theorems asymptotically conic manifolds
2011/2/22
The classical Stein-Tomas restriction theorem is equivalent to the statement that the spectral measure dE() of the square root of the Laplacian on Rn is bounded from Lp(Rn) to Lp′
(Rn) for 1 p 2...
Symplectic birational transformations of the plane
Symplectic birational transformations plane
2011/1/18
We study the group of symplectic birational transformations of the plane.
The incenter of a triangle as a cone isoperimetric center
Incenter isoperimetric problem optimization center
2011/3/1
We show that the the image of the regular projection of a vertex of a cone over a triangle
that minimizes the ratio of the cube of the area of the boundary of the cone and the square
of the volume o...
Virial Theorem and Hypervirial Theorem in a spherical geometry
Viral Theorem Perturbation Theory Spherical geometry
2011/2/25
In the paper, we obtain the Virial Theorem and Hypervirial Theorem in a spherical geometry.
The Hypervirial Theorem and Hellmann-Feynman Theorem are used to formulate a perturbation
theorem without ...
We study the problem to extend an immersed circle f in the sphere S2 to an immersion of the disc. We analyze existence and uniqueness for this problems in terms of the combinatorial structure of a wor...