The strong Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras. I: The existence of the resolution

DOI10.2977/prims/1195166746zbMath0822.17022OpenAlexW1965041522MaRDI QIDQ1318900

Satoshi Naito

Publication date: 12 April 1994

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195166746

zbMATH Keywords

generalized Kac-Moody algebrasBernstein-Gelfand-Gelfand resolution

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (9)

Generalized Kac-Moody algebras and some related topics ⋮ A resolution for standard modules of Borcherds Lie algebras ⋮ Dimension formula for graded Lie algebras and its applications ⋮ Kazhdan-Lusztig-type multiplicity formula for symmetrizable generalized Kac-Moody algebras ⋮ Kazhdan-lusztig conjecture for generalized kac-moody algebras, I: towards the conjecture ⋮ Twining characters and Kostant's homology formula. ⋮ Realizations of the monster Lie algebra ⋮ On tensor products of irreducible integrable representations ⋮ Generalized Kac-Moody algebras and the modular function \(j\)

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