Representations of Semisimple Lie Algebras in the BGG Category O

By J. Humphreys. 2008

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Recursion relations for conformal blocks (2015, background): “We shall follow the notation of the book [48].”
Coproduct for Yangians of affine Kac–Moody algebras (2017, background): “The category O of modules over a finite-dimensional simple Lie algebra has been studied extensively over the past forty years [Hum08].”
Categorifying fractional Euler characteristics, Jones–Wenzl projectors and 3j-symbols (2012, background): “gln/; see [29], Section 9.”
BGG reciprocity for current algebras (2011, methodology): “We were also motivated by the classical Bernstein–Gelfand–Gelfand (BGG) result of [3]; a more recent exposition can be found in [21].”
Endomorphisms of cell 2-representations (2012, positive): “1 Category O in type A Consider the simple complex Lie algebra g = sln with the standard triangular decomposition g = n− ⊕ h ⊕ n+ and a small category O0 equivalent to the principal block of the BGG-category O for g (see [5]).”
Nazarov–Wenzl algebras, coideal subalgebras and categorified skew Howe duality (2013, neutral): “We denote by O the BGG-category O of g, [43].”