Keywords: 17B30; 22E25; 53C30; Nilmanifolds; Nilpotent metric Lie algebras; Filiform Lie algebras; Framed metric Lie algebras;
مقالات ISI (ترجمه نشده)
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Keywords: Extensions of left-symmetric algebras; Left-invariant affine connections; Novikov algebras; Derivation algebras; 17A30; 17B30; 53C05;
Keywords: 17B45; 17B30; 17B81; 34L99; Maximal solvable subalgebras; Algebraic Lie algebras; Invariant solutions;
Keywords: 17B30; 17B56; Filiform Lie superalgebra; Betti number; Associative superalgebra;
Keywords: primary; 17B30; secondary; 17B60; 17B99; 2-capable Lie algebra; Heisenberg algebras; Derived subalgebra; 2-nilpotent multiplier;
Keywords: primary; 53C30; secondary; 17B30; 53C50; 22E25; 57S20;
Keywords: primary; 17B30; secondary; 15A09; Moore-Penrose inverse; Oblique projection; Grassmann manifold; Nilpotent Lie algebra;
Keywords: 17B70; 16W50; 17B30; Gradings on Lie algebras; Upper triangular matrices; Elementary gradings; Group graded algebras;
Keywords: 17B63; 17B50; 17B01; 17B30; 17B65; 16R10; Poisson algebras; Identical relations; Solvable Lie algebras; Nilpotent Lie algebras; Symmetric algebras; Truncated symmetric algebras; Restricted Lie algebras;
Keywords: 17B10; 17B30; Uniserial module; Indecomposable module; Clebsch-Gordan formula;
Keywords: 17B01; 17B30; Nilpotent Lie algebras; Invariant nondegenerate symmetric bilinear forms; Free nilpotent Lie algebras;
Keywords: primary; 17B05; secondary; 17B30; n-Lie algebra; Multiplier; Nilpotent;
Keywords: 17B05; 17B20; 17B30; 17B50;
Keywords: 17B30; 17B56Lie algebra; Solvable; Rigidity; Rank; Cohomology; Characteristic sequence
Keywords: 17B20; 17B30; 17B56; 53D05Nilpotent Lie algebras; Symplectic structures; Nilradicals of parabolic subalgebras
Keywords: primary; 17B30; 17D25; Post-Lie algebra; Pre-Lie algebra;
Keywords: 17B30; 17D25Post-Lie algebra; Pre-Lie algebra
Keywords: 17B05; 17B20; 17B30; 17B50c-Section; c-Ideal; Ideal index; Primitive; Solvable; Nilpotent; Nil; Restricted Lie algebra
Keywords: 17B30; 17B70; 17B99Lie algebras; Lie algebras of order FF; ZFZF-grading; Filiform
Keywords: primary; 17A36; 17B70; secondary; 17B75; 17B40; 17B30; 17A32; Non-associative algebra; Lie type algebra; Almost regular automorphism; Finite grading; Graded algebra; Almost soluble; Leibniz algebra; Lie superalgebra; Color Lie superalgebra;
Keywords: 17B81; 17B30; Contractions of Lie algebras; Degenerations of Lie algebras; Generalized IW-contractions;
Keywords: 17B10; 17B30; Lie algebra; Levi subalgebra; Nilpotent algebra; Free nilpotent algebra; Derivation; Representation;
Keywords: 17A32; 17B05; 17B30; 17B63; 17D25; 53C05; Lie group; Lie algebra; Bi-invariant linear connection; Poisson algebra; Symplectic Lie algebra; Semi-symmetric linear connection;
Keywords: 15A63; 17B05; 17B30; 17B70; Quadratic Lie superalgebras; Super Poisson bracket; Invariant; Double extensions; Generalized double extensions; Adjoint orbits;
Keywords: 17B05; 17B20; 17B30; 17B50Lie algebras; Generalised nilradical; Quasi-nilpotent radical; Quasi-minimal; Quasi-simple; Socle; Centraliser
Keywords: 17B30; 17B56Lie algebras; Lie superalgebras; Cohomology; Deformation; Nilpotent; Filiform
The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras
Keywords: primary; 17B30; secondary; 17B05; 17B99; Schur multiplier; Nilpotent Lie algebra; Capability; Generalized Heisenberg;
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;
A description of pseudo-bosons in terms of nilpotent Lie algebras
Keywords: primary; 47L60; 17B30; secondary; 17B60; 46K10; Pseudo-bosonic operators; Hilbert space; Schur multiplier; Lie algebras; Swanson model;
The nilpotent multipliers of the direct sum of Lie algebras
Keywords: 17B05; 17B30; 17B99; Schur multiplier; Nilpotent multiplier; c-Capable; Nilpotent Lie algebra;
Groups of class 2n in which all proper subgroups have class at most n
Keywords: primary; 20F18; secondary; 17B30; 20F14; Nilpotent groups and Lie algebras; Fitting's theorem; Lazard correspondence; Mal'cev correspondence;
Structure theorem for Vaisman completely solvable solvmanifolds
Keywords: primary; 53C55; secondary; 17B30; Locally conformal Kähler manifold; Vaisman manifold; Solvmanifold;
T*-extension and 1-parameter formal deformation of Novikov superalgebras
Keywords: 17A45; 17B30; 17A70; Novikov superalgebra; Tâ-extension; Representation; Deformation; Quadratic;
When is a power of the Frobenius map on a noncommutative ring a homomorphism?
Keywords: 16R10; 17B30; 17B50; The Frobenius map; The Engel condition; Lie nilpotence;
Capability and Schur multiplier of a pair of Lie algebras
Keywords: primary; 17B30; secondary; 17B05; 17B99; Schur multiplier; Capable Lie algebra; Capable pair of Lie algebras; Exterior product; Tensor product;
Some irreducible components of the variety of complex (n+1)-dimensional Leibniz algebras
Keywords: 17A32; 17B30; 16E40; 13D10; 14D06; 14L30; Leibniz algebra; Solvable algebra; Nilradical; Degeneration; Irreducible component; Leibniz 2-cocycle;
Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
Keywords: 17A32; 17B30; Leibniz algebra; Filiform algebra; Quasi-filiform algebra; Natural gradation; Characteristic sequence; 2-cocycles; Central extension;
R-matrix realization of two-parameter quantum affine algebra Ur,s(glËn)
Keywords: primary; 17B30; secondary; 17B68; Drinfeld realization; RTT formulation; Quantum affine algebras; Gauss decomposition;
The subalgebras of the rank two symplectic Lie algebra
Keywords: 17B05; 17B10; 17B20; 17B30; Symplectic algebra; Classification of subalgebras;
Capable n-Lie algebras and the classification of nilpotent n-Lie algebras with s(A)=3
Keywords: primary; 17B05; secondary; 17B30; Capable; n-Lie algebra; Multiplier;
Counterexample to a conjecture about braces
Keywords: primary; 16N20; 20D15; 81R50; secondary; 16T25; 12F10; 17B30; 17B60; Braces; IYB group; Bijective 1-cocycle; Radical rings; Hopf-Galois extensions; Nilpotent group; Lie algebras; LSA structures;
Leibniz algebras of Heisenberg type
Keywords: 17A32; 17B30; 17B10; Heisenberg algebra; Leibniz algebra; Fock representation; Minimal faithful representation;
The subalgebras of A2
Keywords: 17B05; 17B10; 17B20; 17B30
A remark on the Schur multiplier of nilpotent Lie algebras
Keywords: 17B30; 17B60; 17B99; Nilpotent Lie algebra; Schur multiplier; Cover;
The minimal dimensions of faithful representations for Heisenberg Lie superalgebras
Keywords: 17B30; 17B10; 17B81Heisenberg Lie superalgebra; Faithful representation; Minimal dimension
Representations and module-extensions of 3-hom-Lie algebras
Keywords: 17A45; 17B30; 17B103-hom-Lie algebra; Module-extension; TθTθ-extension; Tθ∗-extension; Representation
On representations of the filiform Lie superalgebra Lm,n
Keywords: 15A21; 15A27; 17B10; 17B25; 17B30; Filiform Lie superalgebra; Minimal faithful representation; Jordan form;
Leibniz algebras associated with representations of filiform Lie algebras
Keywords: 17A32; 17B30; 17B10Filiform algebra; Heisenberg algebra; Fock representation; Minimal faithful representation
Solvable Leibniz algebras with triangular nilradicals
Keywords: 17A32; 17A36; 17A65; 17B30; Lie algebra; Leibniz algebra; Solvability; Nilpotency; Nilradical; Derivation; Nil-independence;
Classification of solvable real rigid Lie algebras with a nilradical of dimension nâ¤6
Keywords: 17B30; 17B56; Real Lie algebra; Solvable; Rigidity; Cohomology;