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Vertex algebras according to Isaac Newton
(IOP Publishing, 2017-09-08)
We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton.
Genus two zhu theory for vertex operator algebras
(2016-10-27)
We consider correlation functions for a vertex operator algebra on a genus two Riemann surface formed by sewing two tori together. We describe a generalisation of genus one Zhu recursion where we express an arbitrary genus ...
On the table of marks of a direct product of finite groups
(Elsevier, 2017-12-28)
We present a method for computing the table of marks of a direct product of finite groups. In contrast to the character table of a direct product of two finite groups, its table of marks is not simply the Kronecker product ...
Genus two virasoro correlation functions for vertex operator algebras
(2016-12-06)
We consider all genus two correlation functions for the Virasoro vacuum descendants of a vertex operator algebra. These are described in terms of explicit generating functions that can be combinatorially expressed in terms ...
Non-invasive evaluation of skin tension lines with elastic waves
(Wiley, 2017-11-20)
Background: Since their discovery by Karl Langer in the 19th Century, Skin Tension Lines (STLs) have been used by surgeons to decide the location and orientation of an incision. Although these lines are patient-specific, ...
Wrinkles in the opening angle method
(Elsevier, 2017-06-10)
We investigate the stability of the deformation modeled by the opening angle method, often used to give a measure of residual stresses in arteries and other biological soft tubular structures. Specifically, we study the ...
Oblique wrinkles
(The Royal Society Publishing, 2017-04-03)
We prove theoretically that when a soft solid is subjected to an extreme deformation, wrinkles can form on its surface at an angle that is oblique to a principal direction of stretch. These oblique wrinkles occur for a ...
An algorithm for the unit group of the Burnside ring of a finite group
(Cambridge University Press, 2007-01)
In this note we present an algorithm for the construction of the unit group of
the Burnside ring Ω(G) of a finite group G from a list of representatives of the
conjugacy classes of subgroups of G.
A note on element centralizers in finite Coxeter groups
(De Gruyter, 2011-08-29)
The normalizer N-W(W-J) of a standard parabolic subgroup W-J of a finite Coxeter group W splits over the parabolic subgroup with complement N-J consisting of certain minimal length coset representatives of W-J in W. In ...
Computing the table of marks of a cyclic extension
(American Mathematical Society, 2012-02-24)
The subgroup pattern of a finite group C is the table of marks of G together with a list of representatives of the conjugacy classes of subgroups of G. In this article we present an algorithm for the computation of the ...