We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Faithful Representations of Finite Type for Conformal Lie Algebras.
- Authors
Kozlov, R. A.
- Abstract
The article discusses the concept of faithful representations of finite conformal Lie algebras. It explores the question of whether every finite conformal Lie algebra, freely generated as an H-module, has a faithful representation on a finitely generated free H-module. The article presents theorems and proofs related to this question, as well as the relationship between the Ado theorem and the structure of universal enveloping associative algebras. It also discusses the radical splitting problem in finite-dimensional Lie algebras and its adaptation to the conformal case. The article concludes with a classification theorem for semisimple associative conformal algebras with finite faithful representation.
- Subjects
NILPOTENT Lie groups; KAC-Moody algebras; MATHEMATICAL logic; NONASSOCIATIVE algebras; UNIVERSAL algebra; ASSOCIATIVE algebras; LIE algebras; ENDOMORPHISMS
- Publication
Algebra & Logic, 2023, Vol 62, Issue 3, p272
- ISSN
0002-5232
- Publication type
Article
- DOI
10.1007/s10469-024-09741-6