
(p,q) shuffle
Encyclopedia
Let
and
be positive natural numbers. Further, let
be the set of permutation
s of the numbers
. A permutation
in
is a (p,q)shuffle if
,
.
The set of all
shuffles is denoted by 
It is clear that

Since a
shuffle is completely determined by how the
first elements are mapped, the cardinality of
is

The wedge product of a
-form and a
-form can be defined as a sum over
shuffles.



Permutation
In mathematics, the notion of permutation is used with several slightly different meanings, all related to the act of permuting objects or values. Informally, a permutation of a set of objects is an arrangement of those objects into a particular order...
s of the numbers





The set of all


It is clear that

Since a




The wedge product of a


