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  • Genus two partition and correlation functions for fermionic vertex operator superalgebras II 

    Tuite, Michael P.; Zuevsky, Alexander (2018-10-18)
    We define and compute the continuous orbifold partition function and a generating function for all n-point correlation functions for the rank two free fermion vertex operator superalgebra on a genus two Riemann surface ...
  • Genus two zhu theory for vertex operator algebras 

    Tuite, Michael P.; Gilroy, Thomas (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 ...
  • N=2 and N=4 subalgebras of super vertex operator algebras 

    Tuite, Michael P.; Mason, Geoffrey; Yamskulna, Gaywalee (IOP Publishing, 2018-01-10)
    We develop criteria to decide if an N=2 or N=4 super conformal algebra is a subalgebra of a super vertex operator algebra in general, and of a super lattice theory in particular. We give some specific examples.
  • Zhu reduction for Jacobi n-point functions and applications 

    Tuite, Michael P.; Krauel, Matthew; Bringmann, Kathrin (2017-06-23)
    We establish precise Zhu reduction formulas for Jacobi n-point functions which show the absence of any possible poles arising in these formulas. We then exploit this to produce results concerning the structure of strongly ...
  • Genus two virasoro correlation functions for vertex operator algebras 

    Tuite, Michael P.; Gilroy, Thomas (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 ...
  • On exceptional vertex operator (Super) algebras 

    Tuite, Michael P.; Van, Hoang Dinh (Springer, 2014-10-01)
    We consider exceptional vertex operator algebras and vertex operator superalgebras with the property that particular Casimir vectors constructed from the primary vectors of lowest conformal weight are Virasoro descendents ...
  • Vertex algebras according to Isaac Newton 

    Tuite, Michael P. (IOP Publishing, 2017-09-08)
    We give an introduction to vertex algebras using elementary forward difference methods originally due to Isaac Newton.
  • Electro-mechanical response of a 3D nerve bundle model to mechanical loads leading to axonal injury 

    Cinelli, Ilaria; Destrade, Michel; Duffy, Maeve; McHugh, Peter (Wiley, 2017-11-21)
    Traumatic brain injuries and damage are major causes of death and disability. We propose a 3D fully coupled electro-mechanical model of a nerve bundle to investigate the electrophysiological impairments due to trauma at ...
  • Modified multiplicative decomposition model for tissue growth: Beyond the initial stress-free state 

    Du, Yangkun; Lü, Chaofeng; Chen, Weiqiu; Destrade, Michel (Elsevier, 2018-05-19)
    The multiplicative decomposition model is widely employed for predicting residual stresses and morphologies of biological tissues due to growth. However, it relies on the assumption that the tissue is initially in a ...
  • On the table of marks of a direct product of finite groups 

    Masterson, Brendan; Pfeiffer, Götz (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 ...
  • Estimating average attributable fractions with confidence intervals for cohort and case control studies 

    Ferguson, John; Alvarez-Iglesias, Alberto; Newell, John; Hinde, John; O’Donnell, Martin (SAGE Publications, 2016-06-24)
    Chronic diseases tend to depend on a large number of risk factors, both environmental and genetic. Average attributable fractions were introduced by Eide and Gefeller as a way of partitioning overall disease burden into ...
  • Wrinkles and creases in the bending, unbending and eversion of soft sectors 

    Sigaeva, Taisiya; Mangan, Robert; Vergori, Luigi; Destrade, Michel; Sudak, Les (The Royal Society, 2018-03-23)
    We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought ...
  • Surface stability of nonlinear magnetoelastic solids 

    Ottenio, M.; Destrade, Michel; Ogden, R.W. (Wiley, 2007-12)
    The present paper proposes to identify surface stability when a magnetoelastic half-space is subjected to a pure homogeneous pre-deformation and to a magnetic field normal to its (plane) boundary. Clearly, the aim is to ...
  • On the quiver presentation of the descent algebra of the symmetric group 

    Bishop, Marcus; Pfeiffer, Götz (Elsevier, 2013-03-18)
    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 ...
  • An inductive approach to Coxeter arrangements and Solomon's descent algebra 

    Dolan, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Springer Verlag, 2012-07-20)
    In our recent paper (Douglass et al. arXiv: 1101.2075 (2011)), we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional ...
  • Computing the table of marks of a cyclic extension 

    Naughton, L.; Pfeiffer, Götz (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 ...
  • Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four 

    Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2012-06-03)
    In recent papers we have refined a conjecture of Lehrer and Solomon expressing the characters of a finite Coxeter group W afforded by the homogeneous components of its Orlik-Solomon algebra as sums of characters induced ...
  • Cohomology of Coxeter arrangements and Solomon's descent algebra 

    Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (American Mathematical Society, 2014-06-19)
    We refine a conjecture by Lehrer and Solomon on the structure of the Orlik-Solomon algebra of a finite Coxeter group W and relate it to the descent algebra of W. As a result, we claim that both the group algebra of W and ...
  • Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight 

    Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2014-11-06)
    In this paper we extend the computations in parts I and II of this series of papers and complete the proof of a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the p-th graded ...
  • On reflection subgroups of finite Coxeter groups 

    Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Taylor & Francis, 2013-06-14)
    Let W be a finite Coxeter group. We classify the reflection subgroups of W up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup R of W the conjugacy class of its ...

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