A superdimension formula for 𝔤𝔩(m|n)-modules

DOI10.1142/S0219498816500808zbMath1405.17015arXiv1409.1305MaRDI QIDQ2801826

Michael Chmutov, Rachel Karpman, Shifra Reif

Publication date: 22 April 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1305

zbMATH Keywords

Lie superalgebracharacter formulasuperdimension formula

Mathematics Subject Classification ID

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

Related Items (1)

Gruson-Serganova character formulas and the Duflo-Serganova cohomology functor

Cites Work

• Unnamed Item
• Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \({\mathfrak {gl}}(m\mid n)\)
• Characters of irreducible representations of simple Lie superalgebras
• On the Superdimension of an Irreducible Representation of a Basic Classical Lie Superalgebra
• Highest weight categories arising from Khovanov's diagram algebra I: cellularity

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