Recent Submissions

  • 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 ...
  • A note on element centralizers in finite Coxeter groups 

    Konvalinka, Matjaž; Pfeiffer, Götz; Röver, Claas E. (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 ...
  • An algorithm for the unit group of the Burnside ring of a finite group 

    Boltje, Robert; Pfeiffer, Götz (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.
  • Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six 

    Bishop, Marcus; Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Elsevier, 2013-01-08)
    In recent papers we have refined a conjecture of Lehrer and Solomon expressing the character of a finite Coxeter group W acting on the graded components of its Orlik-Solomon algebra as a sum of characters induced from ...
  • On the complexity of multiplication in the Iwahori-Hecke algebra of the symmetric group 

    Niemeyer, Alice C.; Pfeiffer, Götz; Praeger, Cheryl E. (Elsevier, 2016-09-12)
    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 = ...
  • The BMR freeness conjecture for the 2-reflection groups 

    Marin, Ivan; Pfeiffer, Götz (American Mathematical Society, 2016-10-12)
    We prove the freeness conjecture of Broue, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections.
  • Non-invasive evaluation of skin tension lines with elastic waves 

    Deroy, Claire; Destrade, Michel; Mc Alinden, Aidan; Ní Annaidh, Aisling (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 

    Destrade, Michel; Lusetti, Irene; Mangan, Robert; Sigaeva, Taisiya (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 ...
  • Guided waves in pre-stressed hyperelastic plates and tubes: Application to the ultrasound elastography of thin-walled soft materials 

    Li, Guo-Yang; Mangan, Robert; Xu, Guoqiang; Mo, Chi; Luo, Jianwen; Destrade, Michel; Cao, Yanping (Elsevier, 2017-02-17)
    In vivo measurement of the mechanical properties of thin-walled soft tissues (e.g., mitral valve, artery and bladder) and in situ mechanical characterization of thin-walled artificial soft biomaterials in service are of ...
  • Oblique wrinkles 

    Carfagna, M.; Destrade, Michel; Gower, Artur L.; Grillo, A. (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 ...
  • Catastrophic thinning of dielectric elastomers 

    Zurlo, G.; Destrade, Michel; DeTommasi, M.; Puglisi, G. (American Physical Society, 2017-02-15)
    We provide an energetic insight into the catastrophic nature of thinning instability in soft electroactive elastomers. This phenomenon is a major obstacle to the development of giant actuators, yet it is neither completely ...
  • Elastic Cherenkov effects in transversely isotropic soft materials-I: Theoretical analysis, simulations and inverse method 

    Li, Guo-Yang; Zheng, Yang; Liu, Yanlin; Destrade, Michel; Cao, Yanping (Elsevier, 2016-06-25)
    A body force concentrated at a point and moving at a high speed can induce shear-wave Mach cones in dusty-plasma crystals or soft materials, as observed experimentally and named the elastic Cherenkov effect (ECE). The ECE ...
  • Methodical fitting for mathematical models of rubber-like materials 

    Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne (The Royal Society Publishing, 2017-02-08)
    A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an in-depth understanding of the successive stages of large extension is still lacking. We show that the response can be ...
  • Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates 

    Destrade, Michel; Fu, Yibin; Nobili, Andrea (The Royal Society Publishing, 2016-09-07)
    The equations governing the appearance of flexural static perturbations at the edge of a semi-infinite thin elastic isotropic plate, subjected to a state of homogeneous bi-axial pre-stress, are derived and solved. The plate ...

View more