On the Gelfand-Kirillov conjecture for the W-algebras attached to the minimal nilpotent orbits

DOI10.1016/j.jalgebra.2016.08.021zbMath1401.17013OpenAlexW2515269622WikidataQ123213853 ScholiaQ123213853MaRDI QIDQ335606

Alexey V. Petukhov

Publication date: 2 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.08.021

zbMATH Keywords

Gelfand-Kirillov conjectureW-algebranoncommutative localization

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Coadjoint orbits; nilpotent varieties (17B08) Associative rings of fractions and localizations (16S85)

Related Items (1)

Finite-dimensional representations of minimal nilpotent W-algebras and zigzag algebras

Cites Work

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• Modular Lie algebras and the Gelfand-Kirillov conjecture
• Enveloping algebras of Slodowy slices and the Joseph ideal
• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite \(W\)-algebras
• Quadratic Extensions of Skew Fields
• Quantized symplectic actions and 𝑊-algebras
• Gel'fand-Kirillov Conjecture on the Lie Field of an Algebraic Lie Algebra

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