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First, we establish the relation between the associated varieties of modules over Kac-Moody algebras \hat{g} and those over affine W-algebras.
Homological algebra
Henri Cartan and Samuel Eilenberg · 1956
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On Whittaker vectors and representation theory
Bertram Kostant · 1978
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Generalized Whittaker vectors and representation theory
T. E. Lynch · 1979
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Singular vectors in Verma modules over Kac-Moody algebras
F. G. Malikov, B. L. Feĭgin, and D. B. Fuks · 1986
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Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
Bertram Kostant and Shlomo Sternberg · 1987
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Whittaker vectors and associated varieties
Hisayosi Matumoto · 1987
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Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
Victor G. Kac and Minoru Wakimoto · 1988
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Classification of modular invariant representations of affine algebras
V. G. Kac and M. Wakimoto · 1989
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Quantization of the Drinfel ′
Boris Feigin and Edward Frenkel · 1990
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Lie algebra cohomology and N = 2 N=2 SCFT based on the GKO construction
Shinobu Hosono and Akihiro Tsuchiya · 1991
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Characters and fusion rules for W W -algebras via quantized Drinfel ′
Edward Frenkel, Victor Kac, and Minoru Wakimoto · 1992
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Nilpotent orbits in semisimple Lie algebras
David H. Collingwood and William M. McGovern · 1993
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Commutative algebra
David Eisenbud · 1995
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Lie algebras with triangular decompositions
Robert V. Moody and Arturo Pianzola · 1995
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Modular invariance of characters of vertex operator algebras
Yongchang Zhu · 1996
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Vertex operator algebras associated to admissible representations of sl ^ 2 \widehat{\rm sl}_{2}
Chongying Dong, Haisheng Li, and Geoffrey Mason · 1997
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Modular functor and representation theory of sl ^ 2 \widehat{\rm sl}_{2} at a rational level
Boris Feigin and Fyodor Malikov · 1997
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Kazhdan-Lusztig tensoring and Harish-Chandra categories
Igor Frenkel and Fyodor Malikov · 1997
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Vertex algebras for beginners
Victor Kac · 1998
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Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III. Positive rational case
Masaki Kashiwara and Toshiyuki Tanisaki · 1998
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Annihilating ideals and tilting functors
F. G. Malikov and I. B. Frenkel ′ · 1999
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Axioms for a vertex algebra and the locality of quantum fields
Atsushi Matsuo and Kiyokazu Nagatomo · 1999
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Abelianizing vertex algebras
Haisheng Li · 2005
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Finite vs affine W W -algebras
Alberto De Sole and Victor G. Kac · 2006
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Representation theory of W W -algebras
Tomoyuki Arakawa · 2007
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Langlands correspondence for loop groups
Edward Frenkel · 2007
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Enveloping algebras of Slodowy slices and the Joseph ideal
Alexander Premet · 2007
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On rationality of W W -algebras
Victor G. Kac and Minoru Wakimoto · 2008
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On exceptional nilpotents in semisimple Lie algebras
A. G. Elashvili, V. G. Kac, and E. B. Vinberg · 2009
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On spherical nilpotent orbits and beyond
Dmitri I. Panyushev · 1999
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Quantization of Slodowy slices
Wee Liang Gan and Victor Ginzburg · 2002
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Quantum reduction for affine superalgebras
Victor Kac, Shi-Shyr Roan, and Minoru Wakimoto · 2003
Cited alongside, same era.
Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction
Tomoyuki Arakawa · 2004
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Vertex algebras and algebraic curves
Edward Frenkel and David Ben-Zvi · 2004
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Quantum reduction and representation theory of superconformal algebras
Victor G. Kac and Minoru Wakimoto · 2004
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Jet schemes and singularities
Lawrence Ein and Mircea Mustaţă · 2009
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Harish-Chandra bimodules for quantized Slodowy slices
Victor Ginzburg · 2009
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Weyl modules and opers without monodromy
Edward Frenkel and Dennis Gaitsgory · 2010
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Quantized symplectic actions and W W -algebras
Ivan Losev · 2010
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Representation theory of W W -algebras, II
Tomoyuki Arakawa · 2011
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A chiral Borel-Weil-Bott theorem
Tomoyuki Arakawa and Fyodor Malikov · 2012
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A remark on the C 2 C_{2} cofiniteness condition on vertex algebras
Tomoyuki Arakawa · 2012
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Two-sided BGG resolutions of admissible representations
T. Arakawa · 2014
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