the wedge product - Maple Help

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liesymm[&^] - the wedge product

Calling Sequence

a &^ b

`&^`(a, b, c)


a, b, c


expression involving differential forms relative to specific coordinates



This routine is part of the liesymm package and is loaded via with(liesymm) .


It computes the wedge product of differential forms relative to the coordinates defined by setup().


All 1-forms are generated by applying d() to the coordinates.


All wedge products are automatically simplified to a wedge product of n 1-forms by extracting coefficients of wedge degree 0.


All results of a wedge product are reported using an address ordering of the 1-forms to facilitate simplifications.  Thus dy &^ dx may simplify to dx &^ dy and if so will do so consistently within a given session.


The ordering used for simplifications of the products of 1-forms is available as wedgeset1.






dt &^ dx



dx &^ dy

dx &^ dy


5dx &^ dy &^ 3dz






See Also

liesymm, liesymm[hook], liesymm[Lie], liesymm[setup], liesymm[wedgeset], with

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