Dixmier's Problem 6 for the Weyl Algebra (The Generic Type Problem)
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Publication:5469999
DOI10.1080/00927870500454711zbMath1094.16016arXivmath/0402244OpenAlexW2119010904MaRDI QIDQ5469999
Publication date: 29 May 2006
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0402244
Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings of differential operators (associative algebraic aspects) (16S32) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Universal enveloping algebras of Lie algebras (16S30)
Related Items (4)
An analogue of the conjecture of Dixmier is true for the algebra of polynomial integro-differential operators. ⋮ The algebra of integro-differential operators on an affine line and its modules. ⋮ Centralizers and Pseudo-Degree Functions ⋮ MAD SUBALGEBRAS AND LIE SUBALGEBRAS OF AN ENVELOPING ALGEBRA
Cites Work
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- Centralizers in differential, pseudo-differential, and fractional differential operator rings
- Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
- \(q\)-analogs of harmonic oscillators and related rings
- The skew field of rational functions on the quantum plane
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- DIXMIER'S PROBLEM 6 FOR SOMEWHAT COMMUTATIVE ALGEBRAS AND DIXMIER'S PROBLEM 3 FOR THE RING OF DIFFERENTIAL OPERATORS ON A SMOOTH IRREDUCIBLE AFFINE CURVE
- The Weyl Algebra-Semisimple and Nilpotent Elements
- A question of Rentschler and the Dixmier problem
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