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Combinatorics of free Wick products Michael Anshelevich
 

Summary: Combinatorics of free Wick products
Michael Anshelevich
October 7, 2006
Take a -algebra A with a state . For example,
A = L
[0, 1],
f =
1
0
f(x) dx.
Let (A) be the tensor algebra of A. (A) is generated by
{X(f)|f A}
where
X : A (A)
is a linear map. Make (A) into a -algebra by requiring that X(f) (A)sa
if f Asa.
1
Define multilinear maps W : An (A) by
W(f) = X(f) - f
and for f1, . . . , fn Asa,

  

Source: Anshelevich, Michael - Department of Mathematics, Texas A&M University

 

Collections: Mathematics