Keywords: 17B30; 17B56; Filiform Lie superalgebra; Betti number; Associative superalgebra;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 17B56; 17B10; secondary; 13A50; Tensor categories; Tensor triangulated categories; Tensor triangular geometry; Lie superalgebras; Representation theory;
Keywords: 17B20; 17B30; 17B56; 53D05Nilpotent Lie algebras; Symplectic structures; Nilradicals of parabolic subalgebras
Keywords: 17B56; 17B50Restricted Lie algebra; Central extension; Cohomology; Simple Lie algebra
Keywords: 17B50; 17B55; 17B56; 17B20; 17B40; Veblen's problem; Invariant differential operator; Positive characteristic;
Projectable Lie algebras of vector fields in 3D
Keywords: 17B66; 17B56; 57S25.; Lie algebras of vector fields; Transformation groups; Lie algebra cohomology;
New examples of rank one solvable real rigid Lie algebras possessing a nonvanishing Chevalley cohomology
Keywords: Lie algebra; Geometrical rigidity; Chevalley cohomology; Quadratic Rim map; 17B30; 17B56;
The binary aff(n|1)-invariant differential operators on weighted densities on the superspace R1|n and aff(n|1)-relative cohomology
Keywords: 17B56; 53D55; 58H15; Affine Lie superalgebra; Differential operators; Cohomology;
Multi derivation Maurer-Cartan algebras and sh Lie-Rinehart algebras
Keywords: 16E45; 16T15; 17B55; 17B56; 17B65; 17B70; 18G10; 55P62; Maurer-Cartan algebra; Sh Lie-Rinehart algebra; Lâ-algebra; Higher homotopies; Quasi Lie-Rinehart algebra; Foliation;
(Co)homology of Lie algebras via algebraic Morse theory
Keywords: 17B56; 13P20; 13D02; 55-04; 18G35; 58E05Algebraic/discrete Morse theory; Homological algebra; Chain complex; Acyclic matching; Solvable Lie algebra; Triangular matrices; Torsion table; Algebraic combinatorics
The classification of N-dimensional non-Lie Malcev algebras with (N-4)-dimensional annihilator
Keywords: 17D10; 17B56; 17D05; 17-08Malcev algebras; Lie algebras; Alternative algebras; Automorphism group
Cohomological finite-generation for finite supergroup schemes
Keywords: primary; 20G10; secondary; 17B56; Strict polynomial functors; Supergroups; Cohomological finite generation; Spectral sequences; Finite group schemes;
Leibniz homology of Lie algebras as functor homology
Keywords: 17B55; 18D50; 17B56
Classification of solvable real rigid Lie algebras with a nilradical of dimension nâ¤6
Keywords: 17B30; 17B56; Real Lie algebra; Solvable; Rigidity; Cohomology;
On some formality criteria for DG-Lie algebras
Keywords: 17B56; 17B70; 16T15; Differential graded Lie algebras; Spectral sequences; Lâ-algebras;
Conformally invariant quantization - towards the complete classification
Keywords: primary; 53A55; secondary; 53A30; 58J70; 17B56; Conformal differential geometry; Invariant quantization; Invariant differential operators;
The cohomology of filiform Lie algebras of maximal rank
Keywords: primary; 17B56; secondary; 17B30; Lie algebra cohomology; Filiform Lie algebras; Torus of derivations; Module structure;
The Koszul homomorphism for a pair of Lie algebras in the theory of exotic characteristic classes of Lie algebroids
Keywords: primary; 57R20; secondary; 58H05; 17B56; 53C05; Secondary flat characteristic classes; Exotic characteristic homomorphism; Lie algebroid; Homotopy invariance; Non-integrable Lie algebroid; TC-foliation;
Unified products for Leibniz algebras. Applications
Keywords: 17A32; 17B05; 17B56; The extension and the factorization problem; Non-abelian cohomology for Leibniz algebras; Complements;
Classes on the moduli space of Riemann surfaces through a noncommutative Batalin-Vilkovisky formalism
Keywords: 14H15; 17B56; 17B65; 17B81; 32G15; 32G81; 81T45; Moduli space of curves; Noncommutative geometry; Batalin-Vilkovisky formalism; Lie algebra cohomology; Topological field theory;
A matrix Miura transform
Keywords: 17B56; 17B63; 17B65; 17B68; 17B80; 17B81; 22E67; 35Q40; 37K30Schrödinger operators; Miura transform; Infinite dimensional Lie algebras; Hierarchies of PDE; Infinite dimensional Poisson geometry; Differential operators in odd variables
Lie-admissible structures on Witt type algebras
Keywords: 17D25; 17A20; 17B65; 17B70; 17B68; 17B56; 17A05; 17B63Lie-admissible algebras; Flexible algebras; Infinite-dimensional Lie algebras; Graded Lie algebras; Virasoro and related algebras; Cohomology of Lie algebras
A complete description of all the infinitesimal deformations of the Lie superalgebra Ln,m
Keywords: 17B30; 17B56; Lie algebras; Lie superalgebras; Cohomology; Deformation; Nilpotent; Filiform;
Deformations of Lie algebras of vector fields arising from families of schemes
Keywords: 17B56; 17B65; 17B66; 14D20; 14D15Moduli stack of marked curves; Global deformations of Lie algebras; Pursell–Shanks theory; Krichever–Novikov algebras; Lie algebra cohomology
On a general approach to the formal cohomology of quadratic Poisson structures
Keywords: 17B63; 17B56
Bosonic and fermionic representations of Lie algebra central extensions
Keywords: 17B10; 17B56; 17B65; 17B68; Lie algebras; Fock space; Central extensions; Cohomology;