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A generalized atomic system of N-level atom within the framework of ([Formula: see text]) JCM interacting with one-mode field solved via supersymmetric approach. [PDF]
Sci RepZait RA.
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The Category of Anyon Sectors for Non-Abelian Quantum Double Models. [PDF]
Commun Math PhysBols A +3 more
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Symplectic physics-embedded learning via Lie groups Hamiltonian formulation for serial manipulator dynamics prediction. [PDF]
Sci RepWang F, Chen L, Ding J.
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Generalized Pentagon Equations. [PDF]
Ann Henri PoincareAlekseev A, Naef F, Ren M.
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Characterizing barren plateaus in quantum ansätze with the adjoint representation. [PDF]
Nat CommunFontana E +7 more
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Functional Analysis and Its Applications, 2002
Let \(P\) be an algebra of complex polynomials in \(\lambda_0, \ldots, \lambda_n\) and \(L_P\) the free left \(P\)-module with a basis \(1, l_0, \ldots, l_n\). Define the structure of a Lie algebra \(\mathfrak a(C,V)\) on \(L_P\) by setting \[ [l_i,l_j]=\sum c_{i,j}^k(\lambda)l_k,\quad [l_i,\lambda_q]=v_{i,q}(\lambda), \quad [\lambda_i,\lambda_j]=0, \]
Bukhshtaber, V. M., Leĭkin, D. V.
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Let \(P\) be an algebra of complex polynomials in \(\lambda_0, \ldots, \lambda_n\) and \(L_P\) the free left \(P\)-module with a basis \(1, l_0, \ldots, l_n\). Define the structure of a Lie algebra \(\mathfrak a(C,V)\) on \(L_P\) by setting \[ [l_i,l_j]=\sum c_{i,j}^k(\lambda)l_k,\quad [l_i,\lambda_q]=v_{i,q}(\lambda), \quad [\lambda_i,\lambda_j]=0, \]
Bukhshtaber, V. M., Leĭkin, D. V.
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Mathematical Notes, 2005
A Lie algebra is said to be antinilpotent if any of its nilpotent subalgebras is abelian. The main motivation to consider the class of antinilpotent Lie algebras is the relation (first mentioned in [\textit{E. Dalmer}, J. Math. Phys. 40, No. 8, 4151--4156 (1999; Zbl 0966.17003)]) between antinilpotent Lie algebras and the problem of constructing ...
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A Lie algebra is said to be antinilpotent if any of its nilpotent subalgebras is abelian. The main motivation to consider the class of antinilpotent Lie algebras is the relation (first mentioned in [\textit{E. Dalmer}, J. Math. Phys. 40, No. 8, 4151--4156 (1999; Zbl 0966.17003)]) between antinilpotent Lie algebras and the problem of constructing ...
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Siberian Mathematical Journal, 1986
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Affine Lie Algebra Modules and Complete Lie Algebras
Algebra Colloquium, 2006In this paper, we first construct some new infinite dimensional Lie algebras by using the integrable modules of affine Lie algebras. Then we prove that these new Lie algebras are complete. We also prove that the generalized Borel subalgebras and the generalized parabolic subalgebras of these Lie algebras are complete.
Gao, Yongcun, Meng, Daoji
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Russian Mathematical Surveys, 1976
In this article we investigate the structure of local Lie algebras with a one-dimensional fibre. We show that all such Lie algebras are essentially exhausted by the classical examples of the Hamiltonian and contact Poisson bracket algebras. We give some examples, unsolved problems, and applications of Lie superalgebras.
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In this article we investigate the structure of local Lie algebras with a one-dimensional fibre. We show that all such Lie algebras are essentially exhausted by the classical examples of the Hamiltonian and contact Poisson bracket algebras. We give some examples, unsolved problems, and applications of Lie superalgebras.
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