geometric representation theory
representation, 2-representation, ∞-representation
Grothendieck group, lambda-ring, symmetric function, formal group
principal bundle, torsor, vector bundle, Atiyah Lie algebroid
Eilenberg-Moore category, algebra over an operad, actegory, crossed module
Be?linson-Bernstein localization?
There are various “decomposition theorems” in various fields of mathematics. This entry will be about the Beilinson–Bernstein–Deligne–Gabber decomposition theorem which is probably the strongest single result of wide applicability in modern geometric representation theory.
A. A. Beilinson, J. Bernstein, P. Deligne Faisceaux pervers, Astérisque 100(1980).
Mark Andrea A. de Cataldo, Luca Migliorini, The decomposition theorem, perverse sheaves and the topology of algebraic maps, Bull. Amer. Math. Soc. 46 (2009), 535-633, html abs, refs, pdf article
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