Purity of affine Springer fibers for GL4). — The affine Springer fiber corresponding to GL4 and regular semi-simple integral split element admits an affine paving, so its cohomology is “pure”.

Let (E ,φ) be a flat Higgs bundle on a compact special affine manifold M equipped with an affine Gauduchon metric. We prove that (E ,φ) is polystable if and only if it admits an affine Yang–Mills–Higgs metric.

the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

OBJECTIVE To evaluate the inhibitory effect of Gnaphalium affine extracts on xanthine oxidase (XO) activity in vitro and to analyze the mechanism of this effect. METHODS In this in vitro study, Kinetic measurements were performed in 4 different inhibitor concentrations and 5 different xanthine concentrations (60, 100, 200, 300, 400 Μmol/L). Dixon and Lineweaver-Burk plot analysis were used to...

The size-change principle devised by Lee, Jones and Ben-Amram, provides an effective method of determining program termination for recursive functions over well-founded types. Termination analysis using the principle involves the classification of functions either into size-change terminating ones, or ones which are not size-change terminating. Size-change graphs are constructed to represent th...

Discrete affine systems are obtained by applying dilations to a given shift-invariant system. The complicated structure of the affine system is due, first and foremost, to the fact that it is not invariant under shifts. Affine frames carry the additional difficulty that they are “global” in nature: it is the entire interaction between the various dilation levels that determines whether the syst...

In this paper, we study a simplified affine motion model based coding framework to overcome the limitation of translational motion model and maintain low computational complexity. The proposed framework mainly has three key contributions. First, we propose to reduce the number of affine motion parameters from 6 to 4. The proposed four-parameter affine motion model can not only handle most of th...

A permutation of Z is called residue-class-wise affine if there is a positive integer m such that it is affine on residue classes (mod m). The smallest such integer is called the modulus of the respective permutation. A residue-class-wise affine permutation is called tame if the moduli of its powers are bounded, and wild otherwise. In this article, we describe two criteria for deciding whether ...

The theory of flat Pseudo-Riemannian manifolds and flat affine manifolds is closely connected to the topic of prehomogeneous affine representations of Lie groups. In this article, we exhibit several aspects of this correspondence. At the heart of our presentation is a development of the theory of characteristic classes and characters of prehomogeneous affine representations. We give application...

In this expository paper, we describe results on pattern avoidance arising from the affine Catalan monoid. The schema of affine codes as canonical decompositions in conjunction with two-row moves is detailed, and then applied in studying the Catalan quotient of the 0-Hecke monoid. We prove a conjecture of Hanusa and Jones concerning periodicity in the number of fully-commutative affine permutat...