Assertion: algebra's set | /r/CapableOf | form basis
Facets:
value: for the entire geometric algebra
type: OTHER
Source sentences:
text: The set of all possible products of n {\displaystyle n} orthogonal basis vectors with indices in increasing order, including 1 {\displaystyle 1} as the empty product, forms a basis for the entire geometric algebra (an analogue of the PBW theorem).