Finite-dimensional simple modules over quantised Weyl algebras

DOI10.1017/S0004972700031816zbMath0923.16005MaRDI QIDQ4209916

Nobuyuki Fukuda

Publication date: 6 September 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

skew polynomial ringssimple modulesquantised Weyl algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary and skew polynomial rings and semigroup rings (16S36) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (1)

Representations of Some PI Algebras

Cites Work

• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• On the field of fractions of certain quantum algebras
• Finite-dimensional simple modules over certain iterated skew polynomial rings
• A simple localization of the quantized Weyl algebra
• Quantum Weyl algebras

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