✦ LIBER ✦

Zero divisors in enveloping algebras of graded Lie algebras

✍ Scribed by Marc Aubry; Jean-Michel Lemaire

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 534 KB
Volume: 38
Category: Article
ISSN: 0022-4049
DOI: 10.1016/0022-4049(85)90006-4

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Going Up for Enveloping Algebras of Lie

Going Up for Enveloping Algebras of Lie Algebras

✍ Boris Širola 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 102 KB

Enveloping algebras of simple three-dime

Enveloping algebras of simple three-dimensional Lie algebras

✍ P Malcolmson 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 506 KB

Intermediate Growth in Lie Algebras and

Intermediate Growth in Lie Algebras and Their Enveloping Algebras

✍ V.M. Petrogradsky 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 276 KB

In this paper a series of dimensions is suggested which includes as first terms dimension of a vector space, Gelfand᎐Kirillov dimension, and superdimension. In terms of these dimensions we describe the change of a growth in transition from a Lie algebra to its universal enveloping algebra. Also, we

The Lie Structure of Enveloping Algebras

✍ D.M. Riley; A. Shalev 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 551 KB

This paper examines the Lie structure of restricted universal enveloping algebras \(u(L)\) over fields of characteristic \(p>0\). It is determined precisely when \(u(L)\), considered as a Lie algebra, is soluble (for \(p>2\) ), nilpotent, or satisfies the Engel condition. 1993 Acadernic Press. Inc.

Invariants of universal enveloping algeb

Invariants of universal enveloping algebras of relatively free lie algebras

✍ Vesselin Drensky; Giulia Maria Piacentini Cattaneo 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 674 KB

Let Fro(29) be the relatively free algebra of rank m \_> 2 in the nonlocally nilpotent variety 29 of Lie algebras over an infinite field of any characteristic. We study the problem of finite generation of the algebra of invariants of a cyclic linear group G = (g) of finite order invertible in the ba

Primeness Criteria for Universal Envelop

Primeness Criteria for Universal Enveloping Algebras of Lie Color Algebras

✍ Kenneth L Price 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 156 KB

We write det L L / 0 q y y if the matrix formed by brackets between elements of a basis of L L is nonsinguy lar. Unlike Lie super algebras, a Lie color algebra L L may have det L L / 0 and a Ž . universal enveloping algebra U L L which is not prime. We will provide examples Ž . and show that U L L i