Quasifinite representations of classical Lie subalgebras of \({\mathcal W}_{1+\infty}\)
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Publication:1273676
DOI10.1006/aima.1998.1753zbMath0938.17018arXivmath/9801136OpenAlexW1580858863MaRDI QIDQ1273676
Catherine Huafei Yan, Weiqiang Wang, Victor G. Kac
Publication date: 11 April 1999
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9801136
dualityhighest weight representationsinvolutioncharacter formulacentral extensionalgebra of differential operatorsprincipal gradation
Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
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Cites Work
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- Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
- Classical affine algebras
- Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
- An elucidation of Infinite-dimensional algebras\dots and the very strange formula. \(E^{(1)}_8\) and the cube root of the modular invariant j
- Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
- Quasifinite representations of classical Lie subalgebras of \({\mathcal W}_{1+\infty}\)
- Dual pairs and tensor categories of modules over Lie algebras \(\widehat{gl}_{\infty}\) and \({\mathcal W}_{1+\infty}\)
- Generalized vertex algebras and relative vertex operators
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Free fields and quasi-finite representations of \(W_{1+{}\infty}\) algebra
- Ghost systems: A vertex algebra point of view
- \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
- Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra
- Local systems of vertex operators, vertex superalgebras and modules
- Zeta values and differential operators on the circle
- Representation theory of the vertex algebra \(W_{1+\infty}\)
- COSET REALIZATION OF UNIFYING ${\mathcal W}$ ALGEBRAS
- Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
- Vertex algebras, Kac-Moody algebras, and the Monster
- Remarks on Classical Invariant Theory
- Spinor representations of affine Lie algebras
- Spin and wedge representations of infinite-dimensional Lie algebras and groups
- Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle
- QUANTUM HAMILTONIAN REDUCTION AND WB ALGEBRA
- DUALITY IN INFINITE DIMENSIONAL FOCK REPRESENTATIONS