scientific article

zbMath0661.17022MaRDI QIDQ3809973

Vyjayanthi Chari, Andrew Pressley

Publication date: 1988

Full work available at URL: http://www.numdam.org/item?id=CM_1988__67_3_315_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

unitary representationsVirasoro algebraRamond superalgebraNeveu- Schwarz Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70)

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Indecomposable representations of the \(q\)-deformed Virasoro algebra, Differential operator Lie algebras on the ring of Laurent polynomials, Unitarizable highest weight modules of the \(N = 2\) super Virasoro algebras: untwisted sectors, A class of irreducible modules for loop-Virasoro algebras, \(\mathbb{Z}_2\times\mathbb{Z}_2\)-generalizations of infinite-dimensional Lie superalgebra of conformal type with complete classification of central extensions, Partial classification of irreducible modules for loop-Witt algebras, Unbounded induced representations of \(\ast \)-algebras, Classification of Harish-Chandra modules over the higher rank Virasoro algebras, Pointed representations of Virasoro algebra, Classification of simple Harish-Chandra modules over the \(N=1\) Ramond algebra, Extensions and index of Hermitian representations, Indecomposable modules of the intermediate series over \(\mathcal W(a, b)\), Unitarizable highest weight modules over the twisted sector of the \(N=2\) super Virasoro algebra, Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra, A novel realization of the Virasoro algebra in number state space, Classification of Harish-Chandra modules over the Virasoro Lie algebra, Index theory and second quantization of boundary value problems, Classification of irreducible quasifinite modules over map Virasoro algebras, Realizations of the Witt and Virasoro Algebras and Integrable Equations, Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac, On indecomposable modules over the Virasoro algebra

Cites Work

• The Virasoro algebra
• Unitary representations of the Virasoro and super-Virasoro algebras
• Details of the non-unitary proof for highest weight representations of the Virasoro algebra
• Unitary representations of the Virasoro algebra
• Virasoro algebras and coset space models
• Representations of real reductive Lie groups
• Lie superalgebras
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