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# PetscDTAltVWedge
Compute the wedge product of a j-form and a k-form, giving a (j+k) form 
## Synopsis
```
#include "petscdt.h" 
PetscErrorCode PetscDTAltVWedge(PetscInt N, PetscInt j, PetscInt k, const PetscReal *a, const PetscReal *b, PetscReal *awedgeb)
```

## Input Parameters

- ***N -*** the dimension of the vector space, N >= 0
- ***j -*** the degree j of the j-form a, 0 <= j <= N
- ***k -*** the degree k of the k-form b, 0 <= k <= N and 0 <= j+k <= N
- ***a -*** a j-form, size [N choose j]
- ***b -*** a k-form, size [N choose k]



## Output Parameter

- ***awedgeb -*** the (j+k)-form a wedge b, size [N choose (j+k)]: (a wedge b)(v_1,...,v_{j+k}) = \sum_{s} sign(s) a(v_{s_1},...,v_{s_j}) b(v_{s_{j+1}},...,v_{s_{j+k}}),
where the sum is over permutations s such that s_1 < s_2 < ... < s_j and s_{j+1} < s_{j+2} < ... < s_{j+k}.





## See Also
 `PetscDTAltV`, `PetscDTAltVWedgeMatrix()`, `PetscDTAltVPullback()`, `PetscDTAltVPullbackMatrix()`

## Level
intermediate

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/dm/dt/interface/dtaltv.c.html#PetscDTAltVWedge">src/dm/dt/interface/dtaltv.c</A>


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