ISOMORPHISMS BETWEEN QUANTUM GENERALIZED WEYL ALGEBRAS

DOI10.1142/S0219498806001685zbMath1102.16025arXivmath/0402413MaRDI QIDQ5483400

Lionel Richard, Andrea L. Solotar

Publication date: 14 August 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402413

zbMATH Keywords

iterated skew polynomial ringsquantum generalized Weyl algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items

On the automorphisms of quantum Weyl algebras ⋮ The automorphism groups for a family of generalized Weyl algebras ⋮ Quantized Weyl algebras at roots of unity ⋮ On Morita equivalence for simple generalized Weyl algebras. ⋮ Skew derivations on generalized Weyl algebras ⋮ Index theory and adiabatic limit in QFT ⋮ Hochschild homology and cohomology of generalized Weyl algebras: the quantum case. ⋮ Homological smoothness and deformations of generalized Weyl algebras ⋮ Endomorphisms of quantum generalized Weyl algebras. ⋮ The group of automorphisms of the Jacobian algebra \(\mathbb A_n\). ⋮ Derivations of quantum and involution generalized Weyl algebras ⋮ Fixed rings of quantum generalized Weyl algebras ⋮ Isomorphisms of non-Noetherian down-up algebras ⋮ The isomorphism problem for multiparameter quantized Weyl algebras. ⋮ Algebra endomorphisms and derivations of some localized down-up algebras ⋮ Automorphisms and isomorphisms of quantum generalized Weyl algebras. ⋮ The Jacobian algebras. ⋮ Cancellation problem for AS-regular algebras of dimension three ⋮ Automorphisms of Generalized Down-Up Algebras ⋮ Reflexive hull discriminants and applications ⋮ A parametric family of subalgebras of the Weyl algebra I. Structure and automorphisms ⋮ Relations of the algebra of polynomial integrodifferential operators ⋮ PRIMITIVE IDEALS AND AUTOMORPHISM GROUP OF $U_{q}^{+}(B_{2})$

Cites Work

• Down-up algebras
• Noncommutative deformations of type-\(A\) Kleinian singularities
• Description of two-sided ideals in a class of noncommutative rings. I
• On the field of fractions of certain quantum algebras
• Hochschild homology and cohomology of generalized Weyl algebras.
• Hochschild homology and cohomology of some classical and quantum noncommutative polynomial algebras.
• Krull dimension of generalized Weyl algebras with noncommutative coefficients
• Quantization of Chern-Simons gauge theory with complex gauge group
• Two remarks on witten'squantum enveloping algebra
• Conformal S1₂ enveloping algebras
• Isomorphism problems and groups of automorphisms for generalized Weyl algebras
• Rigidité des plongements des quotients primitifs minimaux de U_g(sl(2)) dans l’algebre quantique de Weyl-Hayashi

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