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Classification of dynamical Lie algebras of 2-local spin systems on linear, circular and fully connected topologies. [PDF]
npj Quantum InfWiersema R +3 more
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Compatibility of Drinfeld presentations for split affine Kac-Moody quantum symmetric pairs. [PDF]
Lett Math PhysLi JR, Przeździecki T.
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Decompositions of Hyperbolic Kac-Moody Algebras with Respect to Imaginary Root Groups. [PDF]
Commun Math PhysFeingold AJ, Kleinschmidt A, Nicolai H.
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Commutative avatars of representations of semisimple Lie groups. [PDF]
Proc Natl Acad Sci U S AHausel T.
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Estimation of Information Flow-Based Causality with Coarsely Sampled Time Series. [PDF]
Entropy (Basel)Liang XS.
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On the smooth locus of affine Schubert varieties. [PDF]
Math AnnPappas G, Zhou R.
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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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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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