Une Neutralisation Explicite de L'algèbre de Weyl Quantique Complétée

DOI10.1080/00927872.2012.758267zbMath1297.16020arXiv1204.3602OpenAlexW2964009574MaRDI QIDQ5412065

Bernard Le Stum, Michel Gros

Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3602

zbMATH Keywords

quantum Weyl algebrascompletionsneutralizations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Rings of differential operators (associative algebraic aspects) (16S32) Ring-theoretic aspects of quantum groups (16T20)

Related Items (5)

Twisted divided powers and applications ⋮ Formal confluence of quantum differential operators ⋮ Sur une q-déformation locale de la théorie de Hodge non-abélienne en caractéristique positive ⋮ Twisted calculus ⋮ Twisted calculus on affinoid algebras

Cites Work

• Differential operators on quantized flag manifolds at roots of unity
• Nonabelian Hodge theory in characteristic \(p\)
• A Simpson correspondence in positive characteristic
• Localization of modules for a semisimple Lie algebra in prime characteristic (with an appendix by R. Bezrukavnikov and S. Riche, Computation for \(\text{sl}(3))\)

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