On the Azumaya locus of almost commutative algebras

DOI10.1090/S0002-9939-2010-10642-1zbMath1271.16020arXiv0912.0307OpenAlexW2962705781MaRDI QIDQ3005605

Akaki Tikaradze

Publication date: 9 June 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0307

zbMATH Keywords

spectraAzumaya algebrasassociated graded algebrassymplectic leavesAzumaya locismooth loci

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (4)

An analogue of the Kac-Weisfeiler conjecture ⋮ Derivations of quantizations in characteristic \(p\) ⋮ On maximal primitive quotients of infinitesimal Cherednik algebras of \(\mathfrak{gl}_n\) ⋮ A proof of the first Kac–Weisfeiler conjecture in large characteristics

Cites Work

• Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Infinitesimal Hecke algebras of \(\mathfrak{sl}_2\) in positive characteristic
• Symplectic reflection algebras in positive characteristic
• Poisson orders, symplectic reflection algebras and representation theory
• Lie Group Representations on Polynomial Rings
• Fedosov quantization in positive characteristic
• Cherednik algebras and Hilbert schemes in characteristic 𝑝

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