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Fractional linear transformations. De nition. We let GL(2; C) be the set of invertible 2 2 matrices
 

Summary: Fractional linear transformations.
De nition. We let GL(2; C) be the set of invertible 2  2 matrices
"
a b
c d
#
with complex entries. Note that
(i) The identity matrix
I =
"
1 0
0 1
#
is in GL(2; C).
(ii) If A and B are in GL(2; C) then AB 2 GL(2; C).
(iii) if A 2 GL(2; C) then
A 1 = 1
ad bc
"
d b

  

Source: Allard, William K. - Department of Mathematics, Duke University

 

Collections: Mathematics