The twisted Drinfeld double (or quasi-quantum double) of a finite group with a 3-cocycle is identified with a certain twisted groupoid algebra. The groupoid is the loop (or inertia) groupoid of the original group and the twisting is shown geometrically to be the loop transgression of the 3-cocycle. The twisted representation theory of finite groupoids is developed and used to derive properties ...

PURPOSE Cortico-amygdalohippocampectomy (CAH) has become an important treatment option for patients with refractory temporal lobe epilepsy and mesial temporal sclerosis (TLE-MTS); it has resulted in a 60-70% seizure remission rate and significant quality of life (QOL) improvements. Video-electroencephalography (VEEG) monitoring has been widely used in epilepsy centers for pre-surgical evaluatio...

PURPOSE Oral leukoplakia is a well-recognized precancerous lesion of squamous cell carcinoma. When accompanied with abnormal p53 expression, it suffered a higher risk of canceration. The present study was carried out to test whether the recombinant human adenovirus-p53 could introduce wild-type p53 gene to oral leukoplakia cells and induce cell cycle arrest and apoptosis. EXPERIMENTAL DESIGN ...

Tarski associative groupoid (TA-groupoid) is a kind of non-associative satisfying law. In this paper, the new notions transposition regular TA-groupoid are proposed and their properties structural characteristics studied by using band quasi-separativity. particular, following conclusions strictly proved: (1) every left semigroup; (2) disjoint union sub Abelian groups; (3) finite with quasi-sepa...

We describe a special class of representations of an inverse semigroup S on Hilbert's space which we term tight. These representations are supported on a subset of the spectrum of the idempotent semilattice of S, called the tight spectrum, which is in turn shown to be precisely the closure of the space of ultra-filters, once filters are identified with semicharacters in a natural way. These rep...

In ([L2]), Franck Lesieur had introduced a notion of measured quantum groupoid, in the setting of von Neumann algebras. In an annex of [E6], Lesieur’s axioms have been simplified. In this article, we suppose that the basis is central; in that case, we prove that a specific sub-C∗ algebra is, in a sense, invariant under all the data which define the measured quantum group, which allow us to prov...

Let f : G → A be a surjective homomorphism of transitive groupoid schemes and let L denote the kernel of f . The exact sequence of groupoid schemes 1 → L → G → A → 1 induces a sequence of functors between the categories of finite representations of these groupoid schemes Repf (A) → Repf (G) → Repf (L). We show that the category Repf (L) is a quotient category of Repf (G) by Repf (A) in an appro...

Undergraduate students used a simulation to learn about electromagnetic flux. They were provided with three simulated cases that illustrate how changes in flux induce current in a coil. In the POE condition, students predicted, observed, and explained the outcome of each case, treating each case separately. In the GE condition, students were asked to produce a general explanation that would wor...