exteriorPower

Usage

exteriorPower(L, n)

Parameter	Type	Description
L	$\mathbbm{Q}[x,\frac d{dx}]$	A differential operator
n	$\mathbbm{Z}$	A positive integer

Returns

Returns a differential operator ${L}^{\wedge_{n}}$ of minimal order whose kernel is generated by the Wronskians of $n$ elements of a basis of $\mbox{Ker}(L)$.

Example

The second exterior power of

$$L = \frac{d^4}{dx^4} - 2 x \frac{d^2}{dx^2} - 2 \frac d{dx} + x^2$$

can be computed as follows:

1 --> L := D^4 - 2*x*D^2 - 2*D + x^2;
2 --> Le2 := exteriorPower(L,2);
3 --> tex(Le2);

$$D^{5}-4\,x\,D^{3}-6\,D^{2}$$

See Also

symmetricPower