construct a permutation group isomorphic to a special unitary group
a positive integer
power of a prime number
The special unitary group SU⁡n,q is the set of all n x n matrices over the field with q2 elements whose determinant is 1 and respect a fixed nondegenerate sesquilinear form.
The SpecialUnitaryGroup( n, q ) command returns a permutation group isomorphic to the special unitary group SU⁡n,q .
Note that for n = 2 the groups SU⁡n,q and SL⁡n,q are isomorphic so the latter is returned in this case.
If either or both of the parameters n and q is non-numeric, then a symbolic group representing the indicated special unitary group is returned.
The standard notation SU(n, q) is also available as a synonym.
In the Standard Worksheet interface, you can insert this group into a document or worksheet by using the Group Constructors palette.
Two-dimensional special unitary groups are identical to the corresponding special linear group.
G ≔ SpecialUnitaryGroup⁡3,2
G ≔ SU⁡2,23
The GroupTheory[SpecialUnitaryGroup] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
The GroupTheory[SpecialUnitaryGroup] command was updated in Maple 2020.
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