We construct nontrivial homomorphisms from the quasi group of some cubic surfaces over Fp into a group. We show experimentally that the homomorphisms constructed are the only possible ones and that there are no nontrivial homomorphisms in the other cases. Thereby, we follow the classification of cubic surfaces, due to A.Cayley. 1 The quasi group of a cubic surface 1.1. –––– According to Yu. I. ...

Tilted algebras, that is endomorphism algebras of tilting modules over a hereditary algebra, have been one of the main objects of study in representation theory of algebras since their introduction by Happel and Ringel [10]. As a generalization, Happel, Reiten and Smalø studied endomorphism algebras of tilting objects of a hereditary abelian category which they call quasi-tilted algebras [9]. T...

Abstract In this paper we study the relativized Lascar Galois group of a strong type. The is quasi-compact connected topological group, and if in addition underlying theory T G -compact, then compact. We apply compact to obtain model theoretic results note. For example, use divisibility type show that, simple theory, such types have certain property that call divisible amalgamation. main result...

Let X be a topological abelian group and H subgroup of X. We find conditions under which local quasi-convexity both X/H results in the same property for This is true instance if precompact, or metrizable dually embedded also either discrete bounded torsion. give some general principles point out errors we have found existing literature on this problem.

We construct and test a quasi-perfect lattice action for staggered fermions. The construction starts from free fermions, where we suggest a new blocking scheme, which leads to excellent locality of the perfect action. An adequate truncation preserves a high quality of the free action. An Abelian gauge field is inserted in d = 2 by effectively tuning the couplings to a few short-ranged lattice p...

The identification of fractionalized excitations, such as Majorana quasi-particles, would be a striking signal of the realization of exotic quantum states of matter. While the paramount demonstration of such excitations would be a probe of their non-Abelian statistics via controlled braiding operations, alternative proposals exist that may be easier to access experimentally. Here we identify a ...