We generalize the result of [11] on incompressibility of Galois Weil transfer of generalized Severi-Brauer varieties, to direct products of varieties of such type; as shown in [11], this is needed to compute essential dimension of representations of finite groups. We also provide a generalization to non-Galois (separable) Weil transfer.

Abstract Monolithic fluid–structure interaction (FSI) of blood flow with arterial walls is considered, making use sophisticated nonlinear wall models. These incorporate the effects almost incompressibility as well anisotropy caused by embedded collagen fibers. In literature, relatively simple structural models such Neo-Hooke are often considered for FSI walls. Such lack, both, and incompressibi...

Let X be the variety obtained by the Weil transfer with respect to a quadratic separable field extension of a generalized Severi-Brauer variety. We study (and, in some cases, determine) the canonical dimension, incompressibility, and motivic indecomposability of X . We determine canonical 2-dimension of X (in the general case).

2 What we have learned? A personal pick 4 2.1 From randomness to complexity . . . . . . . . . . . . . . . . . . . . . 4 2.2 Formalization of randomness: infinite strings . . . . . . . . . . . . . 5 2.3 Random versus lawless . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.4 Randomness and finite strings: incompressibility . . . . . . . . . . . 7 2.5 Representation and Kolmogorov complexi...

1. Preliminary Remarks.-The condition of incompressibility used in our preceding note' in these PROCEEDINGS will now be replaced by the condition of the classical elasticity theory relating the divergence of the displacement vector and the mean stress. This leads to the usual form of theIHencky stress-strain relations for small plastic displacements which, for purposes of reference, we shall wr...