Shapovalov determinants of Q-type Lie superalgebras

DOI10.1155/IMRP/2006/96895zbMath1178.17007arXivmath/0511623OpenAlexW2077606910MaRDI QIDQ3433119

Maria Gorelik

Publication date: 19 April 2007

Published in: International Mathematics Research Papers (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511623

zbMATH Keywords

Verma modulesJantzen filtrationJantzen sum formulaHarish-Candra homomorphismQ-type Lie superalgebrasShapovalov determinants

Mathematics Subject Classification ID

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

Related Items (9)

On polynomial representations of strange Lie superalgebras of \(Q\)-type ⋮ Primitive ideals, twisting functors and star actions for classical Lie superalgebras ⋮ Classification of simple \(\mathfrak{q}_2\)-supermodules ⋮ On the Duflo-Serganova functor for the queer Lie superalgebra ⋮ Degenerate affine Hecke-Clifford algebras and type \(Q\) Lie superalgebras. ⋮ Serre functors for Lie algebras and superalgebras ⋮ Highest weight modules over quantum queer superalgebra \(U_q(\mathfrak {q}(n))\) ⋮ Shapovalov determinant for loop superalgebras ⋮ Regular strongly typical blocks of \(\mathcal O^{\mathfrak q}\)

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