Defines a one-parameter family of algebras generalizing Schur algebras and proves they are based quasi-hereditary with representation categories that are highest weight subcategories of parabolic category O for gl_n.
Gaitsgory, The semi-infinite intersection cohomology sheaf-II: the Ran space version, In: Bara- novsky, V., Guay, N., Schedler, T
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Establishes existence of abelian envelopes for interpolation categories of G wr S_n (fixed finite G) by proving generalized restriction functors admit adjoints via combinatorial methods.
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Interpolating Schur Algebras
Defines a one-parameter family of algebras generalizing Schur algebras and proves they are based quasi-hereditary with representation categories that are highest weight subcategories of parabolic category O for gl_n.
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Abelian envelopes for interpolation categories of wreath products from monoidal adjunctions
Establishes existence of abelian envelopes for interpolation categories of G wr S_n (fixed finite G) by proving generalized restriction functors admit adjoints via combinatorial methods.
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