scientific article; zbMATH DE number 1419167
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Publication:4942181
zbMath0996.17003MaRDI QIDQ4942181
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Publication date: 31 October 2002
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Schrödinger operatorLie superalgebra\(W\)-algebrasKdV hierarchyGelfand-Dickey bracketmatrices of complex size
Universal enveloping (super)algebras (17B35) Lie algebras of vector fields and related (super) algebras (17B66) Identities, free Lie (super)algebras (17B01) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
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Unnamed Item ⋮ The Shapovalov Determinant for the Poisson Superalgebras ⋮ Enveloping Superalgebra U(osp(1|2)) and Orthogonal Polynomials in Discrete Indeterminate ⋮ Defining Relations of Almost Affine (Hyperbolic) Lie Superalgebras ⋮ Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I ⋮ Shapovalov determinant for loop superalgebras ⋮ Sylvester-'t Hooft generators and relations between them for \(\mathfrak{sl}(n)\) and \(\mathfrak{gl}(n| n)\) ⋮ Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order
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