We present solutions to isomorphism problems for various generalized Weyl algebras,
including deformations of type-A Kleinian singularities and the algebras similar to $ U …

We show that the down–up algebras of G. Benkart (1998, in “Recent Progress in Algebra,”
Contemporary Mathematics Vol. 224, Am. Math. Soc., Providence) and G. Benkart and T …

Description of bi-quadratic algebras on 3 generators with PBW basis - ScienceDirect Skip to
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The (left) global dimension of generalized Weyl algebras A= D (o, a) is studied. It is proved
that lgd A= n, n+ 1 or∞ where lgd D= n. If D is semiprime Noetherian a criterion is given for A …

The prime, completely prime, maximal, and primitive spectra are classified for the universal
enveloping algebra of the Schrödinger algebra. The explicit generators are given for all of …

Classification of Simple Weight Modules over the Schrödinger Algebra Page 1 Canad. Math.
Bull. Vol. ( ), pp. – http://dx.doi.org/. /CMB--©Canadian Mathematical Society Classification of …

The aim of the paper is to extend the class of generalized Weyl algebras (GWAs) to a larger
class of rings (they are also called GWAs) that are determined by two ring endomorphisms …

arXiv:math/0402413v2 [math.QA] 2 Jul 2004 Page 1 arXiv:math/0402413v2 [math.QA] 2 Jul
2004 Isomorphisms between quantum generalized Weyl algebras Lionel Richard∗ and Andrea …

In this paper we study the two-sided ideals of the enveloping algebraU= U (sl2 (K)) over an
arbitrary fieldKof characteristic zero. Starting with two basic ideas, that an irreducible Lie …

The 3-cyclic quantum Weyl algebra AD A.; ˇ; Iq2/, where; ˇ;; q2 2 K (a ground field), is a
quadratic Noetherian domain of Gelfand–Kirillov dimension 3 that is generated by three …