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The speed of interfacial waves polarized in a symmetry plane
(Elsevier, 2006-01)
The surface-impedance matrix method is used to study interfacial waves polarized in a plane of symmetry of anisotropic elastic materials. Although the corresponding Stroh polynomial is a quartic, it turns out to be ...
Weierstrass's criterion and compact solitary waves
(American Physical Society, 2007-04-17)
Weierstrass's theory is a standard qualitative tool for single degree of freedom equations, used in classical mechanics and in many textbooks. In this Brief Report we show how a simple generalization of this tool makes it ...
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.
Glauberman's and Thompson's theorems for fusion systems
(American Mathematical Society, 2009-02)
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 weighted fusion category algebra and the $q$-Schur algebra for $\rm GL_2(q)$
(ScienceDirect, 2008-01)
[no abstract available]
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 $k$ ...
On Genus Two Riemann Surfaces Formed from Sewn Tori
(2006)
We describe the period matrix and other data on a higher genus Riemann surface in terms of data coming from lower genus surfaces via an explicit sewing procedure. We consider in detail the construction of a genus two Riemann ...
Some Irrational Generalised Moonshine from Orbifolds
(2002)
We verify the Generalised Moonshine conjectures for some irrational modular functions for the Monster centralisers related to the Harada-Norton, Held, $M_{12}$ and $L_3(3)$ simple groups based on certain orbifolding ...
Torus Chiral n-Point Functions for Free Boson and Lattice Vertex Operator Algebras
(2002)
We obtain explicit expressions for all genus one chiral n-point functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions.
Exceptional Vertex Operator Algebras and the Virasoro Algebra
(2008)
We consider exceptional vertex operator algebras for which particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendants of the vacuum. We discuss constraints on these ...