Graded Lie Algebras of Maximal Class

DOI10.1090/S0002-9947-97-02005-9zbMath0895.17031OpenAlexW1498389034MaRDI QIDQ4372587

M. F. Newman, Sandro Mattarei, Andrea Caranti

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-02005-9

zbMATH Keywords

graded Lie algebrasalgebra of maximal class

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (36)

Restricted Lie algebras of maximal class ⋮ SOME LOOP ALGEBRAS OF HAMILTONIAN LIE ALGEBRAS ⋮ THE STRUCTURE OF THIN LIE ALGEBRAS WITH CHARACTERISTIC TWO ⋮ Clover nil restricted Lie algebras of quasi-linear growth ⋮ Narrow Lie algebras: A coclass theory and a characterization of the Witt algebra ⋮ Fractal just infinite nil Lie superalgebra of finite width ⋮ A sandwich in thin lie algebras ⋮ Constituents of graded Lie algebras of maximal class and chains of thin Lie algebras ⋮ Self-similar Lie algebras ⋮ Thin subalgebras of Lie algebras of maximal class ⋮ A family of simple Lie algebras in characteristic two. ⋮ Narrow positively graded Lie algebras ⋮ Thin loop algebras of Albert-Zassenhaus algebras ⋮ Restricted one-dimensional central extensions of the restricted filiform Lie algebras \(\mathfrak{m}_0^\lambda(p)\) ⋮ Graded Lie algebras of maximal class of type \(p\) ⋮ Unnamed Item ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ The orders of nonsingular derivations of Lie algebras of characteristic two ⋮ Graded Lie algebras of maximal class. III ⋮ 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 ⋮ Metabelian thin Lie algebras ⋮ The class-breadth conjecture revisited. ⋮ Unnamed Item ⋮ Cohomology of restricted filiform Lie algebras \(\mathfrak m_2^\lambda(p)\) ⋮ Gradings of non-graded Hamiltonian Lie algebras ⋮ Nil Liep-algebras of slow growth ⋮ Graded Lie algebras of maximal class of type \(n\) ⋮ NOTTINGHAM LIE ALGEBRAS WITH DIAMONDS OF FINITE TYPE ⋮ Naturally graded Lie algebras of slow growth ⋮ Graded Lie algebras of maximal class. II ⋮ Narrow algebras and groups ⋮ Ideally constrained Lie algebras ⋮ Thin Lie algebras with diamonds of finite and infinite type ⋮ Diamond distances in Nottingham algebras ⋮ Graded Lie algebras of maximal class. V

Uses Software

• GAP
• ANUPQ

Cites Work

• Unnamed Item
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• On a special class of \(p\)-groups
• The structure of finite \(p\)-groups: Effective proof of the coclass conjectures
• Simple Lie algebras and Lie algebras of maximal class
• Narrow Lie algebras: A coclass theory and a characterization of the Witt algebra
• Determination of the differentiably simple rings with a minimal ideal
• ON THE STRUCTURE OF A SPECIAL CLASS OF p-GROUPS II
• Space Groups and Groups of Prime Power order VII. Powerful p -Groups and Uncovered p -Groups
• Endliche Gruppen I

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