Thin loop algebras of Albert-Zassenhaus algebras

DOI10.1016/j.jalgebra.2007.03.001zbMath1131.17008arXivmath/0610404OpenAlexW2011036362MaRDI QIDQ2460001

Marina Avitabile, Sandro Mattarei

Publication date: 9 November 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610404

zbMATH Keywords

deformationloop algebragraded Lie algebraModular Lie algebrathin Lie algebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Modular Lie (super)algebras (17B50)

Related Items (9)

THE STRUCTURE OF THIN LIE ALGEBRAS WITH CHARACTERISTIC TWO ⋮ A sandwich in thin lie algebras ⋮ Constituents of graded Lie algebras of maximal class and chains of thin Lie algebras ⋮ Graded Lie algebras of maximal class of type \(p\) ⋮ Unnamed Item ⋮ Graded Lie algebras of maximal class of type \(n\) ⋮ A generalized truncated logarithm ⋮ Thin Lie algebras with diamonds of finite and infinite type ⋮ Diamond distances in Nottingham algebras

Cites Work

• Toral rank one Lie algebras
• Albert-Zassenhaus Lie algebras and isomorphisms
• Loop algebras of Zassenhaus algebras in characteristic three
• Simple Lie algebras and Lie algebras of maximal class
• Finite-dimensional simple Lie algebras with a nonsingular derivation
• Linear pro-\(p\)-groups of finite width
• Presenting the graded Lie algebra associated to the Nottingham group
• Graded Lie algebras of maximal class. II
• Graded Lie algebras of maximal class. III
• Some thin pro-\(p\)-groups
• The orders of nonsingular derivations of Lie algebras of characteristic two
• Determination of the differentiably simple rings with a minimal ideal
• Thin Lie algebras with diamonds of finite and infinite type
• On the deformation of rings and algebras
• Graded Lie Algebras of Maximal Class
• NOTTINGHAM LIE ALGEBRAS WITH DIAMONDS OF FINITE TYPE
• SOME LOOP ALGEBRAS OF HAMILTONIAN LIE ALGEBRAS
• Quotients of maximal class of thin lie algebras. the odd characteristic case
• Quotients of maximal class of thin lie algebras. the case of characteristic two
• Gradings of non-graded Hamiltonian Lie algebras
• Substitution Groups of Formal Power Series
• Simple Lie algebras over fields of positive characteristic. I: Structure theory
• Metabelian thin Lie algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Thin loop algebras of Albert-Zassenhaus algebras