Let H be a Hopf algebra. Any finite-dimensional lifting of V∈HHYD arising as a cocycle deformation of A= B(V) # H defines a twist in the Hopf algebra A∗, via dualization. We follow this recipe to write down explicit examples ...

In this thesis we discuss some topics about twisted K-theory calculations and equivalences between a couple of differential extension models. We start with a mathematical review of models for twisted K-theory, differential ...

Twisted light is light carrying orbital angular momentum. The profile of such a beam is a ring-like structure with a node at the beam axis, where a phase singularity exists. Due to the strong spatial inhomogeneity the ...

We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field k. If the underlying semigroup is affine, that is abelian, cancellative and finitely generated, then Spec k[S] is an affine toric ...

The purpose of this article is to show how the root number of a modular form changes by twisting in terms of the local Weil-Deligne representation at each prime ideal. As an application, we show how one can for each odd ...

Let A be a unital ring which is a product of possibly infinitely many indecomposable rings. We establish a criteria for the existence of a globalization for a given twisted partial action of a group on A. If the globalization ...

Abstract Given a central simple algebra g g and a Galois extension of base rings S ∕ R S∕R, we show that the maximal ideals of twisted S ∕ R S∕R-forms of the algebra of currents g ( R ) g(R) are in natural bijection with ...

We theoretically investigate the generation of electric currents in quantum rings resulting from the optical excitation with twisted light. Our model describes the kinetics of electrons in a two-band model of a semiconductor-based ...

Background: Actinic cheilitis (AC) is a potentially malignant oral lesion (PMOL) that results from chronic exposure to the sun's rays. Currently, it is not possible to predict which cases of AC will progress to squamous ...

One of the goals of this dissertation is to understand some properties and theorems of classic convex billiards that are twist maps whose generating function is the distance between two hits. In addition, we will introduce ...