Homology of the complexes of finite Verma modules over \(CK_6\)

DOI10.1016/j.jalgebra.2023.11.016arXiv2212.06698OpenAlexW4389070932MaRDI QIDQ6187310

Unnamed Author

Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2212.06698

zbMATH Keywords

singular vectorsconformal superalgebraslinearly compact Lie superalgebrasfinite Verma modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Homological methods in Lie (super)algebras (17B55) Graded Lie (super)algebras (17B70) Structure theory of algebraic structures (08A05)

Cites Work

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• Structure theory of finite conformal algebras
• Conformal modules
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• Classification of finite irreducible modules over the Lie conformal superalgebra \(CK_{6}\)
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• Classification of degenerate Verma modules for \(E(5, 10)\)
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• Finite conformal modules over N=2,3,4 superconformal algebras
• Irreducible representations of the exceptional Cheng-Kac superalgebra
• Representations of simple finite Lie conformal superalgebras of type W and S
• REPRESENTATIONS OF THE EXCEPTIONAL LIE SUPERALGEBRA E(3,6) III: CLASSIFICATION OF SINGULAR VECTORS
• Irreducible modules over finite simple Lie conformal superalgebras of type K
• Classification of finite irreducible conformal modules for K4′
• Homology
• Representations of the exceptional Lie superalgebra \(E(3,6)\). II: Four

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