✦ LIBER ✦

Structure of a new class of non-graded infinite-dimensional simple Lie algebras

✍ Scribed by Yucai Su

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 189 KB
Volume: 267
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00423-x

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

New Simple Infinite-Dimensional Lie Alge

New Simple Infinite-Dimensional Lie Algebras of Characteristic 0

✍ J.Marshall Osborn 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 198 KB

We construct here several classes of simple Lie algebras of characteristic Ž . 0 which include the Virasoro algebra without central charge and the graded Lie algebras of Cartan type. Our construction is motivated by our w x recent construction of simple locally Novikov algebras in 5 . Our simple Li

Graded Lie Algebras of Maximal Class, II

✍ A Caranti; M.F Newman 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 210 KB

We describe the isomorphism classes of infinite-dimensional N-graded Lie algebras of maximal class over fields of odd characteristic generated by their first homogeneous component.

A new class of unitarizable highest weig

A new class of unitarizable highest weight representations of infinite-dimensional Lie algebras, II

✍ Hans Plesner Jakobsen; Victor Kac 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 987 KB

A Class of Infinite-Dimensional Lie Bial

A Class of Infinite-Dimensional Lie Bialgebras Containing the Virasoro Algebra

✍ W. Michaelis 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 778 KB

In this note, we show explicitly how to obtain the structure of a Lie bialgebra on the Virasoro algebra (with or without a central extension), on the Witt algebra, and on many other Lie algebras. Previously, V. G. Drinfel'd (in a fundamental paper (1983, Soviet Math. Dokl. 27, No. 1, 68-71)), introd

Structure of representations with highes

Structure of representations with highest weight of infinite-dimensional Lie algebras

✍ V.G Kac; D.A Kazhdan 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 636 KB

On the Cohomology of Infinite Dimensiona

On the Cohomology of Infinite Dimensional Nilpotent Lie Algebras

✍ A. Fialowski 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 289 KB

In the paper one- and two-dimensional cohomology is compared for finite and infinite nilpotent Lie algebras, with coefficients in the adjoint representation. It turns out that, because the adjoint representation is not a highest weight representation in infinite dimension, the considered cohomology