DOI10.1142/S0217751X00001956zbMath1002.81026arXivmath-ph/0610011OpenAlexW1995545731MaRDI QIDQ4528651
Janusz Grabowski, José F. Cariñena, Giuseppe Marmo
Publication date: 11 February 2001
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0610011
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Groups and algebras in quantum theory and relations with integrable systems (81R12)
Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)
Cohomologies and relative Rota-Baxter-Nijenhuis structures of 3-LieRep pairs ⋮
Cohomology and deformations of twisted Rota-Baxter operators and NS-algebras ⋮
Classical and quantum systems: alternative Hamiltonian descriptions ⋮
Extending structures for 3-Lie algebras ⋮
Rota's classification problem, rewriting systems and Gröbner-Shirshov bases ⋮
Deformation of Kupershmidt operators and Kupershmidt-Nijenhuis structures of a Malcev algebra ⋮
Quantum systems: real spectra and nonhermitian (Hamiltonian) operators. ⋮
\(\mathcal{O}\)-operators and Nijenhuis operators of associative conformal algebras ⋮
Dendriform-Nijenhuis bialgebras and DN-associative Yang-Baxter equations ⋮
Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and \(\mathcal{O}\)-operators ⋮
Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators ⋮
Gröbner–Shirshov bases for Lie Ω-algebras and free Rota–Baxter Lie algebras ⋮
BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators ⋮
Mini-workshop: Skew braces and the Yang-Baxter equation. Abstracts from the mini-workshop held February 26 -- March 4, 2023 ⋮
Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects ⋮
Deformations of associative Rota-Baxter operators ⋮
Affine Nijenhuis operators and Hochschild cohomology of trusses ⋮
Operator identities on Lie algebras, rewriting systems and Gröbner-Shirshov bases ⋮
Nijenhuis operators and associative D-bialgebras ⋮
Compatible structures of nonsymmetric operads, Manin products and Koszul duality ⋮
Central Extensions and Hom-Quadratic Hom-Novikov Color Algebras ⋮
\(F\)-algebroids and deformation quantization via pre-Lie algebroids ⋮
Kupershmidt operators on Hom-Malcev algebras and their deformation ⋮
Homothetic Rota-Baxter systems and \(\mathrm{Dyck}^m\)-algebras ⋮
Homotopy transfer theorem for linearly compatible di-algebras ⋮
Dynamical algebra of observables in dissipative quantum systems ⋮
Tensorial dynamics on the space of quantum states ⋮
Remarks on the star product of functions on finite and compact groups ⋮
Star products, duality and double Lie algebras ⋮
Remarks on the GNS Representation and the Geometry of Quantum States ⋮
Free Lie Rota-Baxter algebras ⋮
Free operated monoids and rewriting systems ⋮
Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras ⋮
Nijenhuis algebras, NS algebras, and N-dendriform algebras. ⋮
f-oscillators deformation for Moyal algebras ⋮
Left counital Hopf algebras on free Nijenhuis algebras ⋮
Groebner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra ⋮
Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators ⋮
CLASSICAL TENSORS FROM QUANTUM STATES ⋮
Generalized Shuffles Related to Nijenhuis andTD-Algebras ⋮
Cohomologies of \textsf{PoiMod} pairs and compatible structures on Poisson algebras ⋮
Remarks on alternative Hermitian structures for composite quantum systems ⋮
Nijenhuis operators on pre-Lie algebras ⋮
Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer–Cartan equations
This page was built for publication: QUANTUM BI-HAMILTONIAN SYSTEMS
