Commutator
Let
,
, ...be
Operators
. Then the commutator of
and
is defined as
(1)
Let
,
, ...be constants. Identities include
(2)
(3)
(4)
(5)
(6)
(7)
(8)
The commutator can be interpreted as the ``infinitesimal'' of the commutator of a
Lie Group
.
Let
and
be
Tensors
. Then
(9)
See also
Anticommutator
,
Jacobi Identities
© 1996-9
Eric W. Weisstein
1999-05-26