Extreme modules over the Weyl algebra \(A_ n\)

DOI10.1007/BF01058631zbMath0829.16005MaRDI QIDQ1343433

Vladimir V. Bavula

Publication date: 19 February 1995

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Weyl algebrasfinitely generated modulesBernstein inequalityglobal dimensionsimple Lie algebrasKrull dimensionsimplicitytensor products of simple modulesBernstein filtration

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Universal enveloping (super)algebras (17B35) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Simple, semisimple, reductive (super)algebras (17B20) Universal enveloping algebras of Lie algebras (16S30)

Related Items (4)

Quiver generalized Weyl algebras, skew category algebras and diskew polynomial rings ⋮ Whittaker modules and quasi-Whittaker modules for the Schrödinger algebra in \((2 + 1)\)-dimensional spacetime ⋮ Generalized Weyl algebras and diskew polynomial rings ⋮ The global dimension of the generalized Weyl algebras 𝑆⁻¹𝐾[𝐻,𝐶[𝑋,𝑌;𝜎,𝑎]]

Cites Work

• Classification of simple sl(2)-modules and finite-dimensionality of the module of extensions of simple sl(2)-modules
• Oscillatory integrals and volumes with semiquasihomogeneous phase
• Structure of representations generated by vectors of highest weight
• Simple D[X, Y; ?,a-modules]
• Module Structure of Weyl Algebras
• Classification of the irreducible representations of 𝔰𝔩(2,ℭ)
• The general U_q(sl(2)) invariant XXZ integrable quantum spin chain

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