Lie subalgebras of differential operators on the super circle

DOI10.2977/prims/1145476079zbMath1049.17021arXivmath/0103092OpenAlexW1979989171MaRDI QIDQ1423887

Weiqiang Wang, Shun-Jen Cheng

Publication date: 7 March 2004

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103092

zbMATH Keywords

conformal field theorydifferential operatorsW-algebras

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (13)

Crystal graphs for Lie superalgebras and Cauchy decomposition ⋮ Irreducible modules for super-Virasoro algebras from algebraic D-modules ⋮ Howe duality and combinatorial character formula for orthosymplectic Lie superalgebras. ⋮ Character formula for infinite-dimensional unitarizable modules of the general linear super\-algebra. ⋮ Quasi-finite modules for Lie superalgebras of infinite rank ⋮ Quasifinite representations of the Lie superalgebra of quantum pseudodifferential operators ⋮ The central extension defining the super matrix generalization of \(W_{1+\infty}\) ⋮ Rational semistandard tableaux and character formula for the Lie superalgebra \(\widehat{\mathfrak{gl}}_{\infty|\infty}\) ⋮ Kostant homology formulas for oscillator modules of Lie superalgebras ⋮ Combinatorial Howe duality of symplectic type ⋮ A combinatorial proof of a Weyl type formula for hook Schur polynomials ⋮ The super $\mathcal {W}_{1+\infty }$ algebra with integral central charge ⋮ Duality on Fock spaces and combinatorial energy functions

Cites Work

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• Classical affine algebras
• Infinite-dimensional Lie superalgebras and hook Schur functions
• Quasifinite highest weight modules over the super \(W_{1+\infty}\) algebra
• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra
• Remarks on Classical Invariant Theory

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