Usage
symmetricPower(L, n)
Parameter | Type | Description |
---|---|---|
L |
![]() |
A differential operator |
n | ![]() |
A positive integer |
Returns
Returns a differential operatorof minimal order whose kernel is generated by the all the products of
elements of a basis of
.
Remarks
If you only want to compute the kernel ofbut not necessarily the symmetric power itself, then use symmetricKernel instead.
Example
The kernel of the fourth symmetric power of
can be computed as follows:
1 --> L := x^2*D^2 + 3/16 - x; 2 --> L4 := symmetricPower(L, 4); 3 --> tex(L4);
4 --> K := kernel(L4); 5 --> tex(K);
See Also
exteriorPower, symmetricKernel