Character formula for finite-dimensional simple representations of the Lie superalgebra \(\mathfrak{gl}(2,2)\)

DOI10.1016/J.CRMA.2010.04.012zbMath1223.17012OpenAlexW2061357891MaRDI QIDQ974008

François Drouot

Publication date: 26 May 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.04.012

zbMATH Keywords

Lie superalgebrahighest weightsimple moduleCartan subalgebraKac moduledominant weightcombinatorial character formula

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \({\mathfrak {gl}}(m\mid n)\)
• Character and dimension formulae for general linear superalgebra
• Characters of typical representations of classical lie superalgebras
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
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