scientific article; zbMATH DE number 554864
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zbMath0806.17023MaRDI QIDQ4288679
Publication date: 19 February 1995
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Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65)
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Indecomposable representations of generalized weyl algebras ⋮ The simple modules of the ore extensions with coefficients from a dedekind ring ⋮ Isomorphism problems and groups of automorphisms for Ore extensions 𝐾[𝑥[𝑦;𝛿] (zero characteristic)] ⋮ The simple modules of certain generalized crossed products ⋮ Classifications of prime ideals and simple modules of the Weyl algebra \(A_1\) in prime characteristic ⋮ Quiver generalized Weyl algebras, skew category algebras and diskew polynomial rings ⋮ The prime spectrum of the algebra \(\mathbb{K}_q[X,Y \rtimes U_q(\mathfrak{sl}_2)\) and a classification of simple weight modules] ⋮ Simple modules of the Witten-Woronowicz algebra. ⋮ Generalized Weyl algebras and diskew polynomial rings ⋮ Filter dimension of algebras and modules, a simplicity criterion of generalized weyl algebras ⋮ Simple holonomic modules over the second Weyl algebra \(A_2\) ⋮ The global dimension of the generalized Weyl algebras 𝑆⁻¹𝐾[𝐻,𝐶[𝑋,𝑌;𝜎,𝑎]] ⋮ Whittaker modules for generalized Weyl algebras ⋮ Multiparameter twisted Weyl algebras. ⋮ Dixmier's problem 5 for the Weyl algebra. ⋮ Generalized Weyl algebras: category \(\mathcal O\) and graded Morita equivalence. ⋮ Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: Commutative coefficients ⋮ Congenial algebras: Extensions and examples ⋮ Down-up algebras and ambiskew polynomial rings ⋮ Classification of simple modules of the Ore extension \(K[X[Y; f\frac{d}{dX}]\)] ⋮ Krull dimension of generalized Weyl algebras with noncommutative coefficients ⋮ Isomorphism problems and groups of automorphisms for generalized Weyl algebras
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