Twining characters and Kostant's homology formula.

DOI10.2748/tmj/1113246936zbMath1058.17015OpenAlexW2035614802MaRDI QIDQ1411692

Satoshi Naito

Publication date: 15 December 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113246936

zbMATH Keywords

homologyhighest weightsimple moduleKac-Moody algebraVerma module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Homological methods in Lie (super)algebras (17B55)

Related Items (2)

Lakshmibai-Seshadri paths fixed by a diagram automorphism. ⋮ Conformal blocks, Verlinde formula and diagram automorphisms

Cites Work

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• Generalized Kac-Moody algebras
• Lie algebra homology and the Macdonald-Kac formulas
• The strong Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras. I: The existence of the resolution
• The strong Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras. II: An explicit construction of the resolution
• Some automorphisms of generalized Kac-Moody algebras
• Kostant's formula for a certian class of generalized Kac-Moody algebras
• From Dynkin diagram symmetries to fixed point structures
• Graded Lie Superalgebras, Supertrace Formula, and Orbit Lie Superalgebras

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