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The special unitary group is the set of
Unitary Matrices with
Determinant
(having
independent parameters).
is Homeomorphic with the
Orthogonal Group
. It is also called the Unitary Unimodular Group and is a Lie Group. The
special unitary group can be represented by the Matrix
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(1) |
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(2) |
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(3) |
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(4) |
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(5) |
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(6) |
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(7) |
See also Orthogonal Group, Special Linear Group, Special Orthogonal Group
References
Arfken, G. ``Special Unitary Group,
Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A.
``The Groups
and
-
Homomorphism.''
Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 253-259, 1985.
,
,
, and
.'' §2.2 in
Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups. Oxford, England:
Clarendon Press, p. x, 1985.
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© 1996-9 Eric W. Weisstein