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# BGG : Table of Contents

- BGG -- Bernstein-Gel'fand-Gel'fand correspondence
- beilinson -- Vector bundle map associated to the Beilinson monad
- bgg -- the ith differential of the complex R(M)
- cohomologyTable -- dimensions of cohomology groups
- directImageComplex -- direct image complex
- directImageComplex(Complex) -- direct image of a chain complex
- directImageComplex(Matrix) -- map of direct image complexes
- directImageComplex(Module) -- Complex representing the direct image
- Exterior -- dual exterior algebra cached in a polynomial ring
- projectiveProduct -- Makes a product of projective spaces and a system of parameters
- pureResolution -- creates a pure resolution as an iterated direct image
- Regularity -- Option for directImageComplex
- symExt -- the first differential of the complex R(M)
- tateResolution -- finite piece of the Tate resolution
- universalExtension -- Universal extension of vector bundles on P^1