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
Revised on July 2, 2012 19:01:21
by Urs Schreiber