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On residual stresses and homeostasis: an elastic theory of functional adaptation in living matter
(Nature Publishing Group, 2016-04-26)
Living matter can functionally adapt to external physical factors by developing internal tensions, easily revealed by cutting experiments. Nonetheless, residual stresses intrinsically have a complex spatial distribution, ...
Multiples of Pfister forms
(Elsevier, 2016-03-01)
The isotropy of multiples of Pfister forms is studied. Some classical results are recalled and their consequences presented, with certain of these statements being previously known but hitherto unpublished. In particular, ...
Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion
(Elsevier, 2016-07-18)
We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ...
Cell complexes database for the Bianchi groups
(NUI Galway, 2016-05-18)
This is a database of quotients by Bianchi groups of two-dimensional cellular equivariant retracts of Hyperbolic three-space. The Bianchi groups SL(2, A), with A the ring of integers in the imaginary quadratic number field ...
On the complexity of multiplication in the Iwahori-Hecke algebra of the symmetric group
(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
(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.