Goldie ranks of primitive ideals and indexes of equivariant Azumaya algebras

zbMath1496.17008arXiv1802.05651MaRDI QIDQ5154995

Ivan V. Losev, I. A. Panin

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/1802.05651

zbMATH Keywords

indexprimitive idealsAzumaya algebrasW-algebrasGoldie ranks

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Universal enveloping algebras of Lie algebras (16S30)

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Cites Work

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• 1-dimensional representations and parabolic induction for \(W\)-algebras
• Finite-dimensional representations of \(W\)-algebras
• Enveloping algebras of Slodowy slices and Goldie rank
• On the algebraic \(K\)-theory of twisted flag varieties
• Special transverse slices and their enveloping algebras
• Dimensions of irreducible modules over \(W\)-algebras and Goldie ranks
• On dimension growth of modular irreducible representations of semisimple Lie algebras
• Classification of finite-dimensional irreducible modules over -algebras
• Mœglin’s theorem and Goldie rank polynomials in Cartan type A
• Prime Ideals in Ring Extensions
• Highest Weight Theory for Finite W-Algebras
• Quantized symplectic actions and 𝑊-algebras
• Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules
• Completely prime maximal ideals and quantization
• Quantizations of Regular Functions on Nilpotent Orbits
• On the structure of the category O for W-algebras