ar X iv : m at h / 06 11 38 6 v 1 [ m at h . R A ] 1 3 N ov 2 00 6 Quasi Q n - filiform Lie algebras ∗

ar X iv : m at h / 06 11 64 6 v 1 [ m at h . R A ] 2 1 N ov 2 00 6 NATURALLY GRADED 2 - FILIFORM LEIBNIZ ALGEBRAS

The Leibniz algebras appear as a generalization of the Lie algebras [8]. The classification of naturally graded p-filiform Lie algebras is known [3], [4], [5], [9]. In this work we deal with the classification of 2-filiform Leibniz algebras. The study of p-filiform Leibniz non Lie algebras is solved for p = 0 (trivial) and p = 1 [1]. In this work we get the classification of naturally graded no...

ar X iv : m at h / 06 11 83 1 v 1 [ m at h . R A ] 2 7 N ov 2 00 6 CLASSIFICATION OF 4 - DIMENSIONAL NILPOTENT COMPLEX

The Leibniz algebras appeared as a generalization of the Lie algebras. In this work we deal with the classification of nilpotent complex Leibniz algebras of low dimensions. Namely, the classification of nilpotent complex Leibniz algebras dimensions less than 3 is extended to the dimension four.

ar X iv : m at h / 06 11 45 2 v 1 [ m at h . A G ] 1 5 N ov 2 00 6 UNIRATIONALITY OF CERTAIN SUPERSINGULAR K 3 SURFACES IN CHARACTERISTIC

We show that every supersingular K3 surface in characteristic 5 with Artin invariant ≤ 3 is unirational.

ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions

ar X iv : m at h / 06 11 77 4 v 1 [ m at h . FA ] 2 5 N ov 2 00 6 MODULE EXTENSIONS OF DUAL BANACH ALGEBRAS

In this paper we define the module extension dual Banach algebras and we use this Banach algebras to finding the relationship between weak−continuous homomorphisms of dual Banach algebras and Connes-amenability. So we study the weak∗−continuous derivations on module extension dual Banach algebras.