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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 ... 
An inductive approach to Coxeter arrangements and Solomon's descent algebra
(Springer Verlag, 20120720)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 OrlikSolomon algebra of W can be decomposed into a sum of induced onedimensional ... 
Computing the table of marks of a cyclic extension
(American Mathematical Society, 20120224)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
(Elsevier, 20120603)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 OrlikSolomon algebra as sums of characters induced ... 
Cohomology of Coxeter arrangements and Solomon's descent algebra
(American Mathematical Society, 20140619)We refine a conjecture by Lehrer and Solomon on the structure of the OrlikSolomon 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
(Elsevier, 20141106)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 pth graded ... 
On reflection subgroups of finite Coxeter groups
(Taylor & Francis, 20130614)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
(De Gruyter, 20110829)The normalizer NW(WJ) of a standard parabolic subgroup WJ of a finite Coxeter group W splits over the parabolic subgroup with complement NJ consisting of certain minimal length coset representatives of WJ in W. In ... 
An algorithm for the unit group of the Burnside ring of a finite group
(Cambridge University Press, 200701)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
(Elsevier, 20130108)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 OrlikSolomon algebra as a sum of characters induced from ... 
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 = ... 
The BMR freeness conjecture for the 2reflection groups
(American Mathematical Society, 20161012)We prove the freeness conjecture of Broue, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2reflection groups with a single conjugacy class of reflections. 
Noninvasive evaluation of skin tension lines with elastic waves
(Wiley, 20171120)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 patientspecific, ... 
Wrinkles in the opening angle method
(Elsevier, 20170610)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 ... 
Generation of rationallydesigned nerve growth factor (NGF) variants with receptor specificity
(Elsevier, 20171103)Nerve growth factor (NGF) is the prototypic member of the neurotrophin family and binds two receptors, TrkA and the 75 kDa neurotrophin receptor (p75NTR), through which diverse and sometimes opposing effects are mediated. ... 
Guided waves in prestressed hyperelastic plates and tubes: Application to the ultrasound elastography of thinwalled soft materials
(Elsevier, 20170217)In vivo measurement of the mechanical properties of thinwalled soft tissues (e.g., mitral valve, artery and bladder) and in situ mechanical characterization of thinwalled artificial soft biomaterials in service are of ... 
CO2responsive polyacrylamide copolymer vesicles with acidsensitive morpholine moieties and large hydrophobic RAFT endgroup
(Elsevier, 20171007)Sequential Reversible Addition Fragmentation Chain Transfer (RAFT) polymerizations using 2,2′azobis[2(2imidazolin2yl)propane]dihydrochloride (VA044) and 2(dodecylthiocarbonothioylthio)2methylpropionic acid ... 
Adsorption and conformations of lysozyme and αlactalbumin at a wateroctane interface
(AIP Publishing, 201711)As proteins contain both hydrophobic and hydrophilic amino acids, they will readily adsorb onto interfaces between water and hydrophobic fluids such as oil. This adsorption normally causes changes in the protein structure, ... 
Identification of novel cisregulatory elements of Eya1 in Xenopus laevis using BAC recombineering
(Nature Publishing Group, 20171103)The multifunctional Eya1 protein plays important roles during the development of cranial sensory organs and ganglia, kidneys, hypaxial muscles and several other organs in vertebrates. Eya1 is encoded by a complex locus ... 
Chemometric approaches to lowcontent quantification (LCQ) in solidstate mixtures using Raman mapping spectroscopy.
(Royal Society of Chemistry, 20171030)The lowcontent quantification (LCQ) of active pharmaceutical ingredients or impurities in solid mixtures is important in pharmaceutical manufacturing and analysis. We previously demonstrated the feasibility of using Raman ...