zbMath0606.58018MaRDI QIDQ3744927
S. P. Novikov, Alexander A. Balinsky
Publication date: 1985
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A class of generalized derivations ⋮
Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures ⋮
Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality ⋮
Central Extensions and Hom-Quadratic Hom-Novikov Color Algebras ⋮
On pre-Novikov algebras and derived Zinbiel variety ⋮
Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras ⋮
Invariant theory of free bicommutative algebras ⋮
Novikov \(\mathbb{Z}_2 \)-graded algebras with an associative 0-component ⋮
Quasi-triangular pre-Lie bialgebras, factorizable pre-Lie bialgebras and Rota-Baxter pre-Lie algebras ⋮
On the Lie-solvability of Novikov algebras ⋮
Towards Kac-van de Leur conjecture: locality of superconformal algebras ⋮
The construction and deformation of Novikov H-pseudoalgebras ⋮
A class of non-graded left-symmetric algebraic structures on the Witt algebra ⋮
Left-symmetric algebras from linear functions ⋮
Central extensions and conformal derivations of a class of Lie conformal algebras ⋮
Lie 2-bialgebras ⋮
Algebras with skew-symmetric identity of degree 3 ⋮
Novikov-Poisson algebras ⋮
Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations ⋮
Standard bases for the universal associative conformal envelopes of Kac-Moody conformal algebras ⋮
Vertex algebras associated to a class of Lie algebras of Krichever-Novikov type ⋮
Hamilton Operators and Related Integrable Differential Algebraic Novikov–Leibniz Type Structures ⋮
One-generated nilpotent Novikov algebras ⋮
Compatible left-symmetric algebraic structures on high rank Witt and Virasoro algebras ⋮
Novikov Algebras and a Classification of Multicomponent Camassa-Holm Equations ⋮
Two-step nilpotent quadratic Lie algebras and 8-dimensional non-commutative symmetric Novikov algebras ⋮
Frobenius manifolds and Frobenius algebra-valued integrable systems ⋮
\(T^\ast\)-extension and 1-parameter formal deformation of Novikov superalgebras ⋮
Symplectic Novikov Lie algebras ⋮
On the embedding of left-symmetric algebras into differential Perm-algebras ⋮
A generalization to the Hardy-Sobolev spaces $H^{k,p}$ of an $L^p$-$L^1$ logarithmic type estimate ⋮
The construction and deformation of BiHom-Novikov algebras ⋮
Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras ⋮
Special symplectic Lie groups and hypersymplectic Lie groups ⋮
Classical \(r\)-matrices and Novikov algebras ⋮
Modules over novikov algebras of characteristic 0 ⋮
-(bi)derivations and transposed Poisson algebra structures on Lie algebras ⋮
Noncommutative Novikov algebras ⋮
Simple novikov algebras with an idempotent ⋮
The algebraic and geometric classification of nilpotent Novikov algebras ⋮
Conformal envelopes of Novikov-Poisson algebras ⋮
Integral operators on lattices ⋮
Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras ⋮
On the linearization of certain singularities of Nijenhuis operators ⋮
Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras ⋮
Polynomial identities in Novikov algebras ⋮
Poisson geometry of the statistical Frobenius manifold ⋮
Two-component generalizations of the Camassa–Holm equation ⋮
On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem ⋮
Noetherianity and Specht problem for varieties of bicommutative algebras ⋮
Embedding Novikov-Poisson algebras in Novikov-Poisson algebras of vector type ⋮
Geometry of inhomogeneous Poisson brackets, multicomponent Harry Dym hierarchies, and multicomponent Hunter-Saxton equations ⋮
Solvability and nilpotency of Novikov algebras ⋮
Gröbner-Shirshov bases for free Gelfand-Dorfman-Novokov algebras and for right ideals of free right Leibniz algebras ⋮
Free Gelfand–Dorfman–Novikov superalgebras and a Poincaré–Birkhoff–Witt type theorem ⋮
On a class of Lie groups with a left invariant flat pseudo-metric ⋮
Novikov algebras and Novikov structures on Lie algebras ⋮
On the right-symmetric algebras with a unital matrix subalgebra ⋮
Tensor products and perturbations of BiHom-Novikov-Poisson algebras ⋮
Variational calculus of supervariables and related algebraic structures ⋮
Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms ⋮
Minimal identities for right-symmetric algebras ⋮
Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra W(a,b) ⋮
Left-symmetric algebras, or pre-Lie algebras in geometry and physics ⋮
Extending structures and classifying complements for left-symmetric algebras ⋮
Representations and one-parameter formal deformations of BiHom-Novikov superalgebras ⋮
Conformal classical Yang-Baxter equation, \(S\)-equation and \({\mathcal{O}}\)-operators ⋮
Non-associative structures of commutative algebras related with quadratic Poisson brackets ⋮
Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators ⋮
Weighted infinitesimal unitary bialgebras on free monoid algebras ⋮
Extending structures for Lie conformal algebras ⋮
Some non-abelian phase spaces in low dimensions ⋮
Weakly deformed soliton lattices. ⋮
The Frobenius-Virasoro algebra and Euler equations. II: Multi-component cases ⋮
\(\phi_\varepsilon\)-coordinated modules for vertex algebras ⋮
A compendium of Lie structures on tensor products ⋮
Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras ⋮
On finite dimensional simple Novikov superalgebras ⋮
Novikov structures on solvable Lie algebras ⋮
Gelfand-Dorfman-Novikov-Poisson superalgebras and their envelopes ⋮
A construction of Multidimensional Dubrovin-Novikov Brackets ⋮
Classification of simple Novikov algebras and their irreducible modules of characteristic 0 ⋮
The classification of nonsingular multidimensional Dubrovin-Novikov brackets ⋮
The algebraic and geometric classification of nilpotent left-symmetric algebras ⋮
Novikov superalgebras with A 0 = A 1 A 1 ⋮
Quasiderivations and quasicentroids of Novikov algebras ⋮
Bi-Hamiltonian systems in \((2+1)\) and higher dimensions defined by Novikov algebras ⋮
On nonsingular modules over infinite-dimensional simple Novikov algebra of characteristic 0 ⋮
Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems ⋮
A class of simple nonassociative algebras ⋮
Quadratic Leibniz conformal algebras ⋮
Quadratic Lie conformal superalgebras related to Novikov superalgebras ⋮
Weighted infinitesimal unitary bialgebras, pre-Lie, matrix algebras, and polynomial algebras ⋮
Gelfand-Dorfman algebras, derived identities, and the Manin product of operads ⋮
Underlying lie algebras of quadratic Novikov algebras ⋮
Novikov commutator algebras are special ⋮
Symmetric Novikov superalgebras ⋮
Cohomologies and deformations of right-symmetric algebras ⋮
Boundary conformal field theories, limit sets of Kleinian groups and holography ⋮
Quadratic conformal superalgebras
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