DOI10.1007/BF02103278zbMath0808.70015arXivhep-th/9301111MaRDI QIDQ1317418
L. A. Takhtadzhyan
Publication date: 15 March 1995
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9301111
3-Lie∞-algebras and 3-Lie 2-algebras ⋮
Representations and deformations of 3-Hom-ρ-Lie algebras ⋮
On the structure of graded 3-Leibniz algebras ⋮
On special classes of n-algebras ⋮
AKSZ CONSTRUCTION OF TOPOLOGICAL OPEN p-BRANE ACTION AND NAMBU BRACKETS ⋮
GROUPOIDS, LOOP SPACES AND QUANTIZATION OF 2-PLECTIC MANIFOLDS ⋮
T *-extension ofn-Lie algebras ⋮
Bifurcations of limit cycles of perturbed completely integrable systems ⋮
Higher form brackets for even Nambu-Poisson algebras ⋮
Classical Nambu brackets in higher dimensions ⋮
New examples of infinite-dimensional n-Lie algebras ⋮
Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras ⋮
On ternary (Hom-)Nambu-Poisson algebras ⋮
Construction and characterization of \(n\)-ary hom-bialgebras and \(n\)-ary infinitesimal hom-bialgebras ⋮
On classification of \((n+1)\)-dimensional \(n\)-Hom-Lie algebras with nilpotent twisting maps ⋮
On classification of (\(n +1\))-dimensional \(n\)-Hom-Lie algebras for \(n =4,5,6\) and nilpotent twisting map with 2-dimensional kernel ⋮
Induced ternary Hom-Nambu-Lie algebras ⋮
Cohomology and formal deformations of \(n\)-Hom-Lie color algebras ⋮
A new look at Lie algebras ⋮
Singular reduction of Nambu–Poisson manifolds ⋮
On Lie-type constructions over twisted derivations ⋮
On ideals and derived and central descending series of \(n\)-ary Hom-algebras ⋮
Omni n-Lie algebras and linearization of higher analogues of Courant algebroids ⋮
The Socle of a Metricn-Lie Algebra ⋮
Stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras ⋮
Rota-Baxter 3-Lie algebras ⋮
k-Leibniz algebras from lower order ones: From Lie triple to Lie ℓ-ple systems ⋮
On symmetries and conserved quantities in Nambu mechanics ⋮
A note on the quantum Nambu bracket ⋮
On Deformations of n-Lie Algebras ⋮
Dirac structures for higher analogues of Courant algebroids ⋮
Generalized Lorentz-force equations ⋮
$L_\infty$ and $A_\infty$ structures: then and now ⋮
The Wells map for abelian extensions of 3-Lie algebras ⋮
NAMBU BRACKETS WITH CONSTRAINT FUNCTIONALS ⋮
Split regular Hom-Leibniz color 3-algebras ⋮
Cohomology, derivations and abelian extensions of 3-Lie algebras ⋮
On generalized Lax equation of the Lax triple of KP Hierarchy ⋮
On generalized Lax equations of the Lax triple of the BKP and CKP hierarchies ⋮
REFLEXIVE NUMBERS AND BERGER GRAPHS FROM CALABI–YAU SPACES ⋮
A geometric Hamilton–Jacobi theory on a Nambu–Jacobi manifold ⋮
Ternary Hom–Nambu–Lie algebras induced by Hom–Lie algebras ⋮
Comment on “Approximate ternary Jordan derivations on Banach ternary algebras” [Bavand Savadkouhi et al. J. Math. Phys. 50, 042303 (2009)] ⋮
The decomposition of metric n-Lie algebras and the uniqueness ⋮
Approximate homomorphisms and derivations between C∗-ternary algebras ⋮
Realizations of 3-Lie algebras ⋮
Classification of (n+3)-dimensional metric n-Lie algebras ⋮
Quantized Nambu–Poisson manifolds and n-Lie algebras ⋮
Contractions of Filippov algebras ⋮
On a class of n-Leibniz deformations of the simple Filippov algebras ⋮
On the algebra and groups of incompressible vortex dynamics ⋮
Infinite-dimensional 3-Lie algebras and their connections to Harish-Chandra modules ⋮
Classification of the classical \(\mathrm{SL}(2,\mathbb R)\) gauge transformations in the rigid body ⋮
Super 3-Lie algebras induced by super Lie algebras ⋮
Classification of (n + 2)-Dimensional Metric n-Lie Algebras ⋮
Deformation quantization and Nambu mechanics ⋮
Multiplicative Nambu structures on Lie groupoids ⋮
GENERALIZED POISSON MECHANICS IN D-BRANES ⋮
Enveloping Algebras of Filippov Algebras ⋮
Homology with Trivial Coefficients of Leibnizn-Algebras ⋮
Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮
Action of the symmetric group on the free LAnKe: a CataLAnKe theorem ⋮
Constructions of 3-Lie algebras ⋮
Current algebras, generalised fluxes and non-geometry ⋮
Non-degenerate Invariant Bilinear Forms on Leibniz Algebras ⋮
Extending structures for 3-Lie algebras ⋮
Generalization of n-ary Nambu algebras and beyond ⋮
The Frattini subalgebra of \(n\)-Lie algebras ⋮
The infinite dimensional unital Nambu–Poisson algebra of order 3 ⋮
SUPER TENSOR MODELS, SUPER FUZZY SPACES AND SUPER n-ARY TRANSFORMATIONS ⋮
Nambu Mechanics: Symmetries and Conserved Quantities ⋮
Fractional Nambu mechanics ⋮
On Non-Abelian Extensions of 3-Lie Algebras ⋮
A 3-Lie algebra and the dKP Hierarchy ⋮
Split 3-Leibniz algebras ⋮
3-Lie bialgebras and 3-Lie classical Yang–Baxter equations in low dimensions ⋮
Applications of Nambu mechanics to systems of hydrodynamical type ⋮
First integrals of a generalized Darboux–Halphen system ⋮
Integrable systems and reductions of the self-dual Yang–Mills equations ⋮
Hyperelliptic Nambu flow associated with integrable maps ⋮
A stability criterion for non-degenerate equilibrium states of completely integrable systems ⋮
Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras ⋮
The moment map for the variety of 3-Lie algebras ⋮
Nontrivial central extensions of 3-Lie algebras ⋮
Bi-Hamiltonian Structures of 3D Chaotic Dynamical Systems ⋮
3-Hom-Lie algebras based on \(\sigma\)-derivation and involution ⋮
Matrix 3-Lie superalgebras and BRST supersymmetry ⋮
On classification of \(n\)-Lie algebras ⋮
Lie \(n\)-algebras and cohomologies of relative Rota-Baxter operators on \(n\)-Lie algebras ⋮
Hypersymmetry: A ℤ3-graded generalization of supersymmetry ⋮
Geometric Hamilton–Jacobi theory on Nambu–Poisson manifolds ⋮
3-Bihom-\(\rho\)-Lie algebras, 3-pre-Bihom-\(\rho\)-Lie algebras ⋮
BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS ⋮
Relative logarithmic cohomology and Nambu structures of maximal degree ⋮
(2 + 1)-Dimensional generalized third-order Heisenberg supermagnet model ⋮
Nambu–Poisson bracket on superspace ⋮
Dynamics of generalized Poisson and Nambu–Poisson brackets ⋮
Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras ⋮
The Z2-graded Schouten–Nijenhuis bracket and generalized super-Poisson structures ⋮
Commuting foliations
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