Characters of typical irreducible finite-dimensional \({\mathfrak q}(n)\)- modules

DOI10.1007/BF01077312zbMath0595.17003MaRDI QIDQ1077516

I. B. Penkov

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

charactersirreducible representationsseries \({\mathfrak q}\)strange Lie superalgebrastypical highest weight

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70)

Related Items (23)

Tilting Modules for Lie Superalgebras ⋮ Supercharacters of queer Lie superalgebras ⋮ Representations of principal \(W\)-algebra for the superalgebra \(Q(n)\) and the super Yangian \textit{YQ}(1) ⋮ Representations of classical Lie superalgebras of type I ⋮ Finite-dimensional half-integer weight modules over queer Lie superalgebras ⋮ Cohomology of G/P for classical complex Lie supergroups G and characters of some atypical G-modules ⋮ Classification of simple \(\mathfrak{q}_2\)-supermodules ⋮ On sheaf cohomology for supergroups arising from simple classical Lie superalgebras ⋮ TYPICAL BLOCKS OF THE CATEGORY $\mathcal{O}$ FOR THE QUEER LIE SUPERALGEBRA ⋮ On the Duflo-Serganova functor for the queer Lie superalgebra ⋮ Representations of Lie superalgebras in prime characteristic. II: The queer series ⋮ Unnamed Item ⋮ Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra \(\mathfrak q(n)\) ⋮ Extension quiver for Lie superalgebra \(\mathfrak{q}(3)\) ⋮ Integrable bounded weight modules of classical Lie superalgebras at infinity ⋮ Quantum group of type \(A\) and representations of queer Lie superalgebra ⋮ Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra ⋮ Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\) ⋮ Highest weight modules over quantum queer superalgebra \(U_q(\mathfrak {q}(n))\) ⋮ Tensor representations of \(\mathfrak{q} (\infty )\) ⋮ Reduction method for representations of queer Lie superalgebras ⋮ Type C blocks of super category \(\mathcal{O}\) ⋮ Modular representations of the supergroup \(Q(n)\). I

Cites Work

• Unnamed Item
• Integrable systems and Lie superalgebras
• Infinite dimensional Lie algebras. An introduction
• The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\)
• The theory of Lie superalgebras. An introduction
• Structure of representations generated by vectors of highest weight
• Characters of typical representations of classical lie superalgebras
• Lie superalgebras

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