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Schubert2 :: exteriorPower(ZZ,AbstractSheaf)

exteriorPower(ZZ,AbstractSheaf) -- exterior power

Synopsis

Usage:
exteriorPower(n,F)
exteriorPower_n F
Function: exteriorPower
Inputs:
- n, an integer
- F, an abstract sheaf
Optional inputs:
- Strategy => ..., -- choose between Bareiss and Cofactor algorithms
Outputs:
- an abstract sheaf, the n-th exterior power of F

Description

i1 : tangentBundle PP^4

o1 = a sheaf

o1 : an abstract sheaf of rank 4 on a flag bundle

i2 : exteriorPower_4 oo

o2 = a sheaf

o2 : an abstract sheaf of rank 1 on a flag bundle

i3 : chern oo

o3 = 1 + 5H
           2,1

                     QQ[][h, H   , H   , H   , H   ]
                              2,1   2,2   2,3   2,4
o3 : ---------------------------------------------------------------
     (h + H   , h*H    + H   , h*H    + H   , h*H    + H   , h*H   )
           2,1     2,1    2,2     2,2    2,3     2,3    2,4     2,4

See also

symmetricPower(RingElement,AbstractSheaf) -- symmetric power of an abstract sheaf
schur(List,AbstractSheaf) -- apply a Schur functor to an abstract sheaf
determinant(AbstractSheaf) -- determinant of an abstract sheaf