Browsing Mathematics (Scholarly Articles) by Title
Now showing items 3150 of 121

Generalised Moonshine and Abelian Orbifold Constructions
(1994)We consider the application of Abelian orbifold constructions in Meromorphic Conformal Field Theory (MCFT) towards an understanding of various aspects of Monstrous Moonshine and Generalised Moonshine. We review some of the ... 
Generalized Moonshine and orbifold constructions.
(Research Institute for Mathematical Sciences (Kokyuroku), 2002)A brief review is given of some of our recent work on Generalised Monstrous Moonshine using abelian orbifoldings of the Moonshine Module. 
A Generalized Vertex Operator Algebra for Heisenberg Intertwiners
(2011)We consider the extension of the Heisenberg vertex operator algebra by all its irreducible modules. We give an elementary construction for the intertwining vertex operators and show that they satisfy a complex parametrized ... 
Genus Two Meromorphic Conformal Field Theory
(1999)We construct the genus two (or two loop) partition function for meromorphic bosonic conformal field theories. We use a sewing procedure involving two genus one tori by exploiting an explicit relationship between the genus ... 
Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I
(2010)We define the partition and $n$point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by sewing two tori together. For the free fermion vertex operator superalgebra we obtain ... 
The Genus Two Partition Function for Free Bosonic and Lattice Vertex Operator Algebras
(2007)We define the $n$point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus. We explicitly obtain ... 
Glauberman's and Thompson's theorems for fusion systems
(American Mathematical Society, 200902)We prove analogues of results of Glauberman and Thompson for fusion systems. As a corollary, we obtain a stronger form of Frobenius' theorem for fusion systems, applicable under the above assumptions and generalizing another ... 
The gluing problem for some block fusion systems
(2010)We answer the gluing problem of blocks of finite groups (Linckelmann (2004) [7, 4.2]) for tame blocks and the principal pblock of PSL 3 ( p ) for p odd. In particular, we show that the gluing problem for the principal ... 
A high rate tension device for characterizing brain tissue
(SAGE Journals, 20120308)The mechanical characterization of brain tissue at high loading velocities is vital for understanding and modeling traumatic brain injury. The most severe form of traumatic brain injury is diffuse axonal injury, which ... 
Higher torsion in the Abelianization of the full Bianchi groups
(Cambridge University Press (Cambridge Journals Online), 201309)Denote by Q(rootm), with m a squarefree positive integer, an imaginary quadratic number field, and by Om its ring of integers. The Bianchi groups are the groups SL2(Om). In the literature, so far there have been no ... 
The homological torsion of PSL_2 of the imaginary quadratic integers
(2013)The Bianchi groups are the groups (P)SL2 over a ring of integers in an imaginary quadratic number field. We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which ... 
Homology and Ktheory of the Bianchi groups
(2011)We reveal a correspondence between the homological torsion of the Bianchi groups and new geometric invariants, which are effectively computable thanks to their action on hyperbolic space. We use it to explicitly compute ... 
Improved mathematical and numerical modelling of dispersion of a solute from a continuous source
(2011)We present a refinement of a model due to Mondal and Mazumder [7] for dispersion of fine particles in an oscillatory turbulent flow. The model is based on the timedependent advectiondiffusion equation posed on a ... 
The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics
(Elsevier, 2002)[no abstract available] 
Incremental magnetoelastic deformations, with application to surface instability
(Springer, 200801)In this paper the equations governing the deformations of infinitesimal (incremental) disturbances superimposed on finite static deformation fields involving magnetic and elastic interactions are presented. The coupling ... 
Inhomogeneous "longitudinal" circularlypolarized plane waves in anisotropic elastic crystals
(S. Hirzel verlag, Ingenta Connect, 2006)Conditions on the elastic stiffnesses of anisotropic crystals are derived such that circularly polarized longitudinal inhomogeneous plane waves with an isotropic slowness bivector may propagate for any given direction of ... 
Inhomogeneous "longitudinal" plane waves in a deformed elastic material
(Springer, 200501)By definition, a homogeneous isotropic compressible Hadamard material has the property that an infinitesimal longitudinal homogeneous plane wave may propagate in every direction when the material is maintained in a state ... 
Inhomogeneous deformation of brain tissue during tension tests
(Elsevier, 2012)Mechanical characterization of brain tissue has been investigated extensively by various research groups over the past 50 years. These properties are particularly important for modeling Traumatic Brain Injury (TBI). ... 
Inhomogeneous shear of orthotropic incompressible nonlinearly elastic solids: Singular solutions and biomechanical interpretation
(Elsevier, 2009)We present a detailed study of rectilinear shear deformation in the framework of orthotropic nonlinear elasticity, under Dirichlet and mixedboundary conditions. We take a slab made of a soft matrix, reinforced with two ... 
Initial stresses in elastic solids: Constitutive laws and acoustoelasticity
(2011)On the basis of the nonlinear theory of elasticity, the general constitutive equation for an isotropic hyperelastic solid in the presence of initial stress is derived. This derivation involves invariants that couple the ...