Infinite-dimensional filtered Lie algebras and their connection with graded Lie algebras

DOI10.1007/BF01075364zbMath0245.17006OpenAlexW1997793788MaRDI QIDQ2555140

B. Yu. Weisfeiler

Publication date: 1968

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075364

Mathematics Subject Classification ID

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

Related Items

Classification of systems of nonlinear ordinary differential equations with superposition principles ⋮ Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations ⋮ Classification of restricted simple Lie algebras ⋮ Infinite-dimensional primitive linearly compact Lie superalgebras ⋮ Homogeneous models for Levi degenerate CR manifolds ⋮ Classification of maximal transitive prolongations of super-Poincaré algebras ⋮ Symmetries of supergeometries related to nonholonomic superdistributions ⋮ Unnamed Item ⋮ \(G(3)\)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation ⋮ Lie algebras of vector fields on smooth affine varieties ⋮ Lie superalgebras ⋮ Classification of simple Lie algebras over algebraically closed fields of prime characteristic ⋮ On the structure of the minimal ideal of some graded Lie algebras in characteristic \(p>0\) ⋮ Residually solvable extensions of an infinite dimensional filiform Leibniz algebra ⋮ Nilpotent locally convex Lie algebras and Lie field structures ⋮ Classification of infinite-dimensional simple linearly compact Lie superalgebras ⋮ Classification of the restricted simple Lie algebras with toral Cartan subalgebras ⋮ On certain families of naturally graded Lie algebras

Cites Work

• The infinite groups of Lie and Cartan. I: The transitive groups