Engel condition on enveloping algebras of Lie superalgebras

Engel-5 Lie Algebras

Enveloping Algebras of Hom-lie Algebras

A Hom-Lie algebra is a triple (L, [−,−], α), where α is a linear self-map, in which the skew-symmetric bracket satisfies an α-twisted variant of the Jacobi identity, called the Hom-Jacobi identity. When α is the identity map, the Hom-Jacobi identity reduces to the usual Jacobi identity, and L is a Lie algebra. Hom-Lie algebras and related algebras were introduced in [1] to construct deformation...

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

On Defining Relations of the Affine Lie Superalgebras and Their Quantized Universal Enveloping Superalgebras

Introduction. In this paper, we give defining relations of the affine Lie superalgebras and defining relations of a super-version of the Drinfeld[D1]Jimbo[J] affine quantized enveloping algebras. As a result, we can exactly define the affine quantized universal enveloping superalgebras with generators and relations. Moreover we give a Drinfeld’s realization of Uh(ŝl(m|n)). For the Kac-Moody Lie...

Primeness of the Enveloping Algebra of the Special Lie Superalgebras

A primeness criterion due to Bell is shown to apply to the universal enveloping algebra of the Cartan type Lie superal-gebras S(V) and e S(V ; t) when dim V is even. This together with other recent papers yields Theorem. Let L be a nite-dimensional simple Lie superalgebra over an algebraically closed eld of characteristic zero. Then L satisses Bell's criterion (so that U(L) is prime), unless L ...