Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators
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Publication:1013610
DOI10.1007/s11005-008-0259-2zbMath1243.17002arXivmath/0701320OpenAlexW3103257993MaRDI QIDQ1013610
Publication date: 20 April 2009
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701320
Related Items (max. 100)
The L∞-deformations of associative Rota–Baxter algebras and homotopy Rota–Baxter operators ⋮ Cohomology and deformations of weighted Rota–Baxter operators ⋮ O-operators and related structures on Leibniz algebras ⋮ Cohomologies and relative Rota-Baxter-Nijenhuis structures of 3-LieRep pairs ⋮ Rota-Baxter systems, dendriform algebras and covariant bialgebras ⋮ Cohomology and deformations of \(\mathcal{O}\)-operators on Hom-associative algebras ⋮ Cohomology and deformations of twisted Rota-Baxter operators and NS-algebras ⋮ Deformation of Kupershmidt operators and Kupershmidt-Nijenhuis structures of a Malcev algebra ⋮ \(\mathcal{O}\)-operators and Nijenhuis operators of associative conformal algebras ⋮ Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation ⋮ The 𝓞N-structure on bimodules over associative conformal algebras ⋮ Twisting theory, relative Rota-Baxter type operators and \(L_\infty\)-algebras on Lie conformal algebras ⋮ Extensions and automorphisms of Rota-Baxter groups ⋮ The cohomology of relative cocycle weighted Reynolds operators and NS-pre-Lie algebras ⋮ BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators ⋮ Bimodules over relative Rota-Baxter algebras and cohomologies ⋮ Relative Rota–Baxter Leibniz algebras, their characterization and cohomology ⋮ Twisted Rota-Baxter operators on 3-Hom-Lie algebras ⋮ Construction of free commutative Reynolds algebras by Gröbner-Shirshov bases ⋮ Deformations of associative Rota-Baxter operators ⋮ L ∞ -structures and cohomology theory of compatible O-operators and compatible dendriform algebras ⋮ Cohomologies of relative Rota-Baxter Lie algebras with derivations and applications ⋮ Crossed modules and non-abelian extensions of Rota-Baxter Leibniz algebras ⋮ Cohomology and deformations of generalized Reynolds operators on Leibniz algebras ⋮ Cohomology and relative Rota-Baxter-Nijenhuis structures on \(\mathsf{LieYRep}\) pairs ⋮ The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras ⋮ Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras ⋮ Splitting of operations for alternative and Malcev structures ⋮ Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras ⋮ Twisted algebras and Rota–Baxter type operators ⋮ 𝒪-Operators of Loday Algebras and Analogues of the Classical Yang–Baxter Equation ⋮ Twisted Rota–Baxter operators and Reynolds operators on Lie algebras and NS-Lie algebras ⋮ Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras ⋮ Some results on L-dendriform algebras ⋮ Cohomologies of \textsf{PoiMod} pairs and compatible structures on Poisson algebras ⋮ On equivariant dendriform algebras ⋮ Twisted Rota-Baxter families and NS-family algebras ⋮ Double Lie algebras of a nonzero weight ⋮ RELATIVE ROTA–BAXTER OPERATORS AND TRIDENDRIFORM ALGEBRAS ⋮ On the classification of $3$-dimensional $F$-manifold algebras
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- Dirac Manifolds
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