Character formulae for ortho-symplectic Lie superalgebras \(\mathfrak{osp}(n|2)\)

DOI10.1016/J.JALGEBRA.2011.12.014zbMath1270.17003arXiv0909.3134OpenAlexW1240044930WikidataQ115351144 ScholiaQ115351144MaRDI QIDQ441389

Li Luo

Publication date: 23 August 2012

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

Full work available at URL: https://arxiv.org/abs/0909.3134

zbMATH Keywords

generalized Verma modulecharacter formulaKazhdan-Lusztig polynomialorthosymplectic Lie superalgebra\(\mathfrak u\)-cohomologytensor module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Cohomology of Lie (super)algebras (17B56) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (4)

Singular conformal oscillator representations of orthosymplectic Lie superalgebras ⋮ Conformal oscillator representations of orthosymplectic Lie superalgebras ⋮ Trivial module for ortho-symplectic Lie superalgebras and Littlewood's formula ⋮ Generalised Verma modules for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{k|2}\)

Cites Work

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• Generalised Verma modules for the orthosymplectic Lie superalgebra \(\mathfrak {osp}_{k|2}\)
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• Characters of typical representations of classical lie superalgebras
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
• Character formulae for the lie superalgebra C(n)
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