✦ LIBER ✦

Deformations of Lie Algebras

✍ Scribed by F. Grunewald; J. Ohalloran

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 498 KB
Volume: 162
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1250

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Versal Deformation of the Lie Algebra L2

✍ Alice Fialowski; Gerhard Post 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 120 KB

We investigate deformations of the infinite-dimensional vector-field Lie algebra spanned by the fields e s z iq 1 drdz, where i G 2. The goal is to describe the i base of a ''versal'' deformation; such a versal deformation induces all the other nonequivalent deformations and solves the deformation p

Lie Stack Deformations

✍ Lieven Le Bruyn 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 293 KB

Enveloping algebras of Lie stacks give irreducible Hopf algebra deformations of Ž . U ᒄ which are neither commutative nor cocommutative. In this paper we present and study a large class of examples of Lie stacks. In particular, we show that the PBW-bases of these Hopf algebras do not have to be fini

On Lie-Admissible Algebras Whose Commuta

On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras

✍ K.I. Beidar; M.A. Chebotar 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 210 KB

We describe third power associative multiplications ) on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided w x that x ) y y y ) x s x, y for all x, y and the prime algebras in question do not satisfy polynomial identities of low degree. We also obta

Quasiclassical Lie Algebras

✍ A.A Baranov; A.E Zalesskii 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 231 KB

In this paper we study finite dimensional non-semisimple Lie algebras that can be obtained as Lie algebras of skew-symmetric elements of associative algebras with involution. We call such algebras quasiclassical and characterize them in terms of existence of so-called '')-plain'' representations. We

Splittable Lie Groups and Lie Algebras

✍ Michael Wüstner 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 118 KB

We show that each Mal'cev splittable -Lie algebra (i.e., each -Lie algebra where ad is splittable) with char = 0 may be realized as a splittable subalgebra of a gl V , where V is a finite-dimensional vector space over , and that each Mal'cev splittable analytic subgroup of a GL n , i.e., each subgro

Vertex Algebras, Lie Algebras, and Super

Vertex Algebras, Lie Algebras, and Superstrings

✍ Nils R Scheithauer 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 379 KB

We construct Lie algebras from vertex superalgebras and study their structure. They are sometimes generalized Kac᎐Moody algebras. In some special cases we can calculate the multiplicities of the roots.