George Mackey
George Mackey
is an American
mathematician
, working mainly in the fields of
representation theory
and
group actions
, and related parts of
functional analysis
. He is also one of the pioneer writers on
quantum logic
, and
noncommutative geometry
. He has written substantial surveys connecting his research interests with a large body of mathematics.
Mackey's theorem
is a result on the structure of
induced representations
when restricted to a subgroup, in terms of
double cosets
. It may be stated for
finite groups
, but has far-reaching extensions.
Mackey theory
, on representations of
semidirect products
, and the idea of
Mackey functors
, have become standard tools. Mackey, George
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