Kac-Moody Groups

By Basic Theory. 2002

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Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian (2005, background): “The parabolic analogue is also studied in [27], §11.”
k-Schur Functions and Affine Schubert Calculus (2013, methodology): “The Kac-Moody flag ind-variety Fl = G/B [77] is paved by cells BẇB/B ∼= C`(w) whose closures Xw define equivariant fundamental homology classes [Xw]T ∈ HT (Fl).”
Double Schubert polynomials for the classical groups (2008, background): “The main references are [2] and [28] (see also [30]).”
An upper bound on the exceptional characteristics for Lusztig's character formula (2008, neutral): “For the Kac-Moody versions of the well-known results about Schubert varieties see [Kum].”
Galleries, Hall-Littlewood polynomials, and structure constants of the spherical Hecke algebra (2005, background): “Details of the following constructions and their relation to affine KacMoody algebras can be found in Kumar’s book [Kum02].”
Quiver Hecke Algebras and 2-Lie Algebras (2011, background): “We recall now the construction of an action of Hn on H (Grn/GLn) (cf [Ku]), where Grn is the variety of complete flags in C .”