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Given a finite-dimensional reductive Lie algebra $\mathfrak{g}$ equipped with a nondegenerate, invariant, symmetric bilinear form $B$, let $V^k(\mathfrak{g},B)$ denote the universal affine vertex algebra associated to $\mathfrak{g}$ and $B$ at level $k$.
H. Weyl, The Classical Groups: Their Invariants and Representations
1946
Earlier work this paper cites.
V. Kac and D. Peterson, Spin and wedge representations of infinite-dimensional Lie algebras and groups
1981
Earlier work this paper cites.
I. Frenkel, Representations of Kac-Moody algebras and dual resonance models
1985
Earlier work this paper cites.
P. Goddard, A. Kent and D. Olive, Virasoro algebras and coset space models
1985
Earlier work this paper cites.
R. Borcherds, Vertex operator algebras, Kac-Moody algebras and the monster
1986
Earlier work this paper cites.
P. Di Vecchia, J. L. Petersen, M. Yu and H. B. Zheng, Explicit construction of unitary representations of the N = 2 superconformal algebra
1986
Earlier work this paper cites.
S. Kumar, Extension of the category O g O^{g} and a vanishing theorem for the Ext functor for Kac-Moody algebras. Journal of Algebra, 108(2), (1987) 472-491
1987
Earlier work this paper cites.
F. Bais, P. Bouwknegt, M. Surridge, and K. Schoutens, Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
1988
Earlier work this paper cites.
F. Bais, P. Bouwknegt, M. Surridge, and K. Schoutens, Coset construction for extended Virasoro algebras
1988
Earlier work this paper cites.
V. Fateev and S. Lykyanov. The models of two-dimensional conformal quantum field theory with Z n Z_{n} symmetry
1988
Earlier work this paper cites.
I.B. Frenkel, J. Lepowsky, and A. Meurman, Vertex Operator Algebras and the Monster
1988
Earlier work this paper cites.
D. Gepner, Space-Time Supersymmetry in Compactified String Theory and Superconformal Models
1988
Earlier work this paper cites.
V. Kac and M. Wakimoto. Modular Invariant Representations of Infinite-Dimensional Lie Algebras and Superalgebras. Proc. Nat. Acad. Sci. USA, 85:4956-4960, 1988
1988
Earlier work this paper cites.
V. Kac and M. Wakimoto, Classification of modular invariant representations of affine algebras
1989
Earlier work this paper cites.
Y. Kazama and H. Suzuki, New N = 2 N=2 Superconformal Field Theories and Superstring Compactification
1989
Earlier work this paper cites.
B. Feigin and E. Frenkel, Quantization of the Drinfeld-Sokolov reduction
1990
Earlier work this paper cites.
V. Kac and M. Wakimoto, Branching functions for winding subalgebras and tensor products
1990
Earlier work this paper cites.
E. Frenkel, V. Kac and M. Wakimoto, Characters and fusion rules for 𝒲 {\mathcal{W}} -algebras via quantized Drinfeld-Sokolov reductions
1992
Earlier work this paper cites.
I.B. Frenkel and Y.C. Zhu, Vertex operator algebras associated to representations of affine and Virasoro algebras
1992
Earlier work this paper cites.
K. Ito, N=2 superconformal CP(n) model
1992
Earlier work this paper cites.
P. Bouwknegt and K. Schoutens, 𝒲 {\mathcal{W}} -symmetry in conformal field theory
1993
Earlier work this paper cites.
I.B. Frenkel, Y-Z Huang, and J. Lepowsky, On axiomatic approaches to vertex operator algebras and modules
1993
Earlier work this paper cites.
J. de Boer, L. Feher, and A. Honecker, A class of 𝒲 {\mathcal{W}} -algebras with infinitely generated classical limit
1994
Cited alongside, same era.
R. Blumenhagen, W. Eholzer, A. Honecker, K. Hornfeck, and R. Hubel, Coset realizations of unifying 𝒲 \mathcal{W} -algebras
1995
Cited alongside, same era.
B. Lian and G. Zuckerman, Commutative quantum operator algebras
1995
Cited alongside, same era.
C. Dong, H. Li, and G. Mason, Compact automorphism groups of vertex operator algebras
1996
Cited alongside, same era.
V. Kac and A. Radul, Representation theory of the vertex algebra 𝒲 1 + ∞ {\mathcal{W}}_{1+\infty}
1996
Cited alongside, same era.
H. Li, Local systems of vertex operators, vertex superalgebras and modules
C. Dong and Q. Wang, On C 2 C_{2} -cofiniteness of the parafermion vertex operator algebras
2011
Later among the works it cites.
C. Dong and Q. Wang, Parafermion vertex operator algebras
2011
Later among the works it cites.
M. R. Gaberdiel and R. Gopakumar, An AdS 3 Dual for Minimal Model CFTs
2011
Later among the works it cites.
A. Linshaw, Invariant theory and the 𝒲 1 + ∞ {\mathcal{W}}_{1+\infty} algebra with negative integral central charge
2011
Later among the works it cites.
D. Adamovic and O. Perse, The vertex algebra M ( 1 ) + M(1)^{+} and certain affine vertex algebras of level − 1 -1
2012
Later among the works it cites.
T. Creutzig, Y. Hikida and P. B. Rønne, Higher spin AdS 3 supergravity and its dual CFT
2012
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1996
Cited alongside, same era.
V. Kac, Vertex Algebras for Beginners
1998
Cited alongside, same era.
V. Kac, W. Wang, and C. Yan, Quasifinite representations of classical Lie subalgebras of 𝒲 1 + ∞ {\mathcal{W}}_{1+\infty}
1998
Cited alongside, same era.
D. Adamovic, Representations of the N = 2 N=2 superconformal vertex algebra
1999
Cited alongside, same era.
C. Dong, G. Mason Quantum Galois theory for compact Lie groups
1999
Cited alongside, same era.
W. Wang, Duality in infinite-dimensional Fock representations
1999
Cited alongside, same era.
W. Wang, Dual pairs and infinite-dimensional Lie algebras
1999
Cited alongside, same era.
Later among the works it cites.
G. Höhn, C. H. Lam, and H. Yamauchi, McKay’s E 7 E_{7} observation on the Baby Monster
2012
Later among the works it cites.
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2012
Later among the works it cites.
T. Creutzig, Y. Hikida and P. B. Rønne, N = 1 N=1 supersymmetric higher spin holography on AdS 3
2013
Later among the works it cites.
A. Linshaw, Invariant subalgebras of affine vertex algebras
2013
Later among the works it cites.
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2014
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2014
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2014
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2015
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