Browsing Mathematics (Scholarly Articles) by Title
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On the complexity of multiplication in the IwahoriHecke algebra of the symmetric group
(Elsevier, 20160912)We present new efficient data structures for elements of Coxeter groups of type Am and their associated Iwahori Hecke algebras H(A(m)). Usually, elements of H(A(m)) are represented as simple coefficient list of length M = ... 
On the composition product of saturated fusion systems
(Elsevier, 201111)We say that a fusion system is the composition product of two subsystems if every morphism can be factored as a morphism in one fusion system followed by a morphism in the other. We establish a relationship between the ... 
On the equivariant Khomology of PSL_2 of the imaginary quadratic integers
(Association des Annales de l'Institut Fourier, 201609)We establish formulae for the part due to torsion of the equivariant $K$homology of all the Bianchi groups (PSL$_2$ of the imaginary quadratic integers), in terms of elementary numbertheoretic quantities. To achieve this, ... 
On the quiver presentation of the descent algebra of the symmetric group
(Elsevier, 20130318)We describe a presentation of the descent algebra of the symmetric group G(n) as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic image of an algebra of ... 
On the rectilinear shear of compressible and incompressible elastic slabs
(2010)We review some pseudoplanar deformations for the equations of incompressible isotropic nonlinear elasticity first introduced in 1985 by Rajagopal and Wineman. We extend this class of deformations to compressible isotropic ... 
On the table of marks of a direct product of finite groups
(Elsevier, 20171228)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 ... 
On the third and fourthorder constants of incompressible isotropic elasticity.
(Acoustical Society of America, 20100425)Consider the constitutive law for an isotropic elastic solid with the strainenergy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stressstrain relation can ... 
On the Torus degeneration of the genus two partition function
(World Scientific Publishing, 20130716)We consider the partition function of a general vertex operator algebra V on a genus two Riemann surface formed by sewing together two tori. We consider the nontrivial degeneration limit where one torus is pinched down ... 
Onset of nonlinearity in the elastic bending of blocks
(American Society of Mechanical Engineers, 20130125)The classical flexure problem of nonlinear incompressible elasticity is revisited assuming that the bending angle suffered by the block is specified instead of the usual applied moment. The general momentbending angle ... 
Phase behaviour of selfassembled monolayers controlled by tuning physisorbed and chemisorbed states: A latticemodel view
(American Institute of Physics, 20160407)The selfassembly of molecules on surfaces into 2D structures is important for the bottomup fabrication of functional nanomaterials, and the selfassembledstructure depends on the interplay between moleculemolecule ... 
Piezoacoustic wave spectra using improved surface impedance matrix: Application to high impedancecontrast layered plates
(2008)Starting from the general modal solutions for a homogeneous layer of arbitrary material and crystalline symmetry, a matrix formalism is developed to establish the semianalytical expressions of the surface impedance matrices ... 
Piezoelectric Love waves on rotated Ycut mm2 substrates
(IEEE, 200611)Consider a layer consisting of a m3m dielectric crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semiinfinite mm2 piezoelectric substrate. For an X or Ycut of the substrate, a Love wave can ... 
Poynting effect of brain matter in torsion
(Royal Society of Chemistry, 20190613)We investigate experimentally and model theoretically the mechanical behaviour of brain matter in torsion. Using a straincontrolled rheometer, we perform torsion tests on fresh porcine brain samples. We quantify the torque ... 
Proper formulation of viscous dissipation for nonlinear waves in solids
(Acoustical Society of America, 201303)To model nonlinear viscous dissipative motions in solids, acoustical physicists usually add terms the material time derivative of the Lagrangian strain tensor E, to the elastic stress tensor; derived from the expansion to ... 
A quiver presentation for Solomon's descent algebra
(Elsvier, 2009)The descent algebra S(W) is a subalgebra of the group algebra of a finite Coxeter group W, which supports a homomorphism with nilpotent kernel and commutative image in the character ring of W. Thus S(W) is a basic algebra, ... 
Rational Generalised Moonshine from Abelian Orbifoldings of the Moonshine Module
(2001)We consider orbifoldings of the Moonshine Module with respect to the abelian group generated by a pair of commuting Monster group elements with one of prime order $p=2,3,5,7$ and the other of order $pk$ for $k=1$ or $k$ ... 
Ray W Ogden: An Appreciation
(SAGE Publications, 201507)This special issue of Mathematics and Mechanics of Solids is dedicated to Professor Ray Ogden FRS on the occasion of his 70th birthday. It is a companion volume to another special issue edited by our colleagues ... 
Rayleigh waves and surface stability for Bell materials in compression; comparison with rubber
(Oxford University Press, 2003)The stability of a Bellconstrained halfspace in compression is studied. To this end, the propagation of Rayleigh waves on the surface of the material when it is maintained in a static state of triaxial prestrain is ... 
Rayleigh waves in symmetry planes of crystals : explicit secular equations and some explicit wave speeds
(Elsevier, 2003)Rayleigh waves are considered for crystals possessing at least one plane of symmetry. The secular equation is established explicitly for surface waves propagating in any direction of the plane of symmetry, using two different ... 
Realizing a fusion system by a single finite group
(2010)We show that every saturated fusion system can be realized as a full subcategory of the fusion system of a finite group. The result suggests the definition of an 'exoticity index' and raises some other questions which we discuss.