Centers and Azumaya loci for finite W-algebras in positive characteristic

DOI10.1017/S0305004121000414MaRDI QIDQ5081312

Bin Shu, Yang Zeng

Publication date: 14 June 2022

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

Full work available at URL: https://arxiv.org/abs/1710.05514

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Modular Lie (super)algebras (17B50) Associative rings and algebras arising under various constructions (16S99) Coadjoint orbits; nilpotent varieties (17B08)

Cites Work

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• Enveloping algebras of Slodowy slices and Goldie rank
• Commutative quotients of finite \(W\)-algebras
• Complexity of Lie algebra representations and nilpotent elements of the stabilizers of linear forms
• Simple singularities and simple algebraic groups
• On Whittaker vectors and representation theory
• Centers of reduced enveloping algebras
• Homological properties of (graded) Noetherian PI rings
• Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension
• Representations of the Poisson algebra in prime characteristic
• Special transverse slices and their enveloping algebras
• Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture
• Enveloping algebras of Slodowy slices and the Joseph ideal
• Quantized symplectic actions and 𝑊-algebras
• IRREDUCIBLE REPRESENTATIONS OF MODULAR LIE ALGEBRAS
• Representations of restricted Lie algebras and families of associative ℒ-algebras
• Homological Properties of Fully Bounded Noetherian Rings
• Modular finite W-algebras
• The center of the universal enveloping algebra of a Lie algebra in characteristic $p$
• The Representations of Lie Algebras of Prime Characteristic
• Restricted shifted Yangians and restricted finite 𝑊-algebras
• The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras

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