Simple holonomic modules over the second Weyl algebra \(A_2\)

DOI10.1006/aima.1999.1835zbMath0947.16008OpenAlexW2001853648MaRDI QIDQ1971632

Vladimir V. Bavula, Freddy M. J. van Oystaeyen

Publication date: 11 May 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1999.1835

zbMATH Keywords

tensor productssimple modulesGelfand-Kirillov dimensionirreducible elementsgeneralized Weyl algebrasholonomic modulesfirst Weyl algebramaximal left idealsOre localizationsdivisions ring of fractionssimple Noetherian domains

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

Simple modules over Kq[X,Y⋊Uq≥0(sl2) and Kq[X,Y]⋊Uq(sl2) at root of unity] ⋮ The prime spectrum and simple modules over the quantum spatial ageing algebra ⋮ Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules ⋮ Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\) ⋮ Maximal graded orders over crystalline graded rings. ⋮ Idealizers in the second Weyl algebra ⋮ The group of automorphisms of the Jacobian algebra \(\mathbb A_n\). ⋮ Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2 ⋮ MODULES OVER QUANTUM LAURENT POLYNOMIALS ⋮ Introducing crystalline graded algebras. ⋮ Representations of then-Dimensional Quantum Torus ⋮ Holonomic modules for rings of invariant differential operators

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