Category \(\mathcal{O}\) for truncated current Lie algebras

DOI10.4153/s0008414x23000664MaRDI QIDQ6633513

Matthew Chaffe, Lewis W. Topley

Publication date: 6 November 2024

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lie algebrasrepresentation theorycategory \(\mathcal{O}\)truncated current Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Lie algebras of linear algebraic groups (17B45)

Cites Work

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• Highest-weight theory for truncated current Lie algebras
• Shifted Yangians and finite \(W\)-algebras
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• Harish-Chandra homomorphism for generalized Takiff algebras
• Invariant polynomials on truncated multicurrent algebras
• Takiff algebras with polynomial rings of symmetric invariants
• Category \(\mathcal{O}\) for Takiff Lie algebras
• Noncommutative Noetherian rings. With the cooperation of L. W. Small.
• Compatibility of the Feigin-Frenkel Isomorphism and the Harish-Chandra Isomorphism for jet algebras
• Representation Theory and Complex Geometry
• Modular Representation Theory of Lie Algebras
• Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras
• Sugawara Operators for Classical Lie Algebras
• Twisting functors on 𝒪
• Category O for Takiff sl2
• Rings of Invariant Polynomials for a Class of Lie Algebras

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