𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The O'RAIFEARTAIGH Theorem for the Generalized Lie Algebras

✍ Scribed by Dr. P. Kosiński; Dr. J. Rembieliński; Dr. P. Maślanka


Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
242 KB
Volume
488
Category
Article
ISSN
0003-3804

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Generalized Reduced Enveloping Algebras
✍ Christopher P Bendel 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 272 KB

We observe that any finite-dimensional indecomposable module for a restricted Lie algebra over an algebraically closed field is a module for a finite-dimensional quotient of the universal enveloping algebra. These algebras form a two-parameter family which generalizes the notion of a reduced envelop

Generalized Restricted Lie Algebras and
✍ Bin Shu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 309 KB

Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra Ž . over F, and P L the primitive p-envelope of L. A close relation between Ž . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with

Free Lie Algebras, Generalized Witt Form
✍ Seok-Jin Kang; Myung-Hwan Kim 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 296 KB

Let ⌫ be a countable abelian semigroup satisfying a suitable finiteness condition, and let L s [ L be the free Lie algebra generated by a ⌫-graded vector space V over C. In this paper, from the denominator identity, we derive a dimension formula for the homogeneous subspaces of the free Lie algebra

The Generalized Restricted Representatio
✍ Bin Shu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 363 KB

## DEDICATED TO PROFESSOR GUANG-YU SHEN ON THE OCCASION OF HIS 65TH BIRTHDAY Let F be an algebraically closed field of characteristic p ) 2. In this paper, the concepts of generalized restricted Lie algebras and their generalized restricted representations over F are introduced. Any graded Lie alg