Characters of irreducible \(G\)-modules and cohomology of \(G/P\) for the Lie supergroup \(G=Q(N)\)
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Publication:1281951
DOI10.1007/BF02399196zbMath0920.17003OpenAlexW2055883896MaRDI QIDQ1281951
Vera V. Serganova, I. B. Penkov
Publication date: 25 March 1999
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02399196
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Cohomology of Lie (super)algebras (17B56)
Related Items (25)
Supercharacters of queer Lie superalgebras ⋮ Representations of a central extension of the simple Lie superalgebra \(\mathfrak{p}(3)\) ⋮ Finite-dimensional half-integer weight modules over queer Lie superalgebras ⋮ On BBW parabolics for simple classical Lie superalgebras ⋮ Classification of simple \(\mathfrak{q}_2\)-supermodules ⋮ Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra ⋮ 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 ⋮ Degenerate affine Hecke-Clifford algebras and type \(Q\) Lie superalgebras. ⋮ Serre functors for Lie algebras and superalgebras ⋮ Webs of type Q ⋮ Twisted affine Lie superalgebra of type \(Q\) and quantization of its enveloping superalgebra ⋮ Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra \(\mathfrak q(n)\) ⋮ Extension quiver for Lie superalgebra \(\mathfrak{q}(3)\) ⋮ Quantum group of type \(A\) and representations of queer Lie superalgebra ⋮ The nilpotent cone for classical Lie superalgebras ⋮ 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 \(\mathfrak{q} (\infty )\) ⋮ A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory ⋮ Character and dimension formulae for queer Lie superalgebra ⋮ Reduction method for representations of queer Lie superalgebras ⋮ Book Review: Lie superalgebras and enveloping algebras ⋮ Modular representations of the supergroup \(Q(n)\). I
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