noun
Meaning 1
For given n, the group of n×n unitary matrices with complex elements and determinant equal to one.
Definition source: English Wiktionary via Wiktextract
Topics: group-theory, linear-algebra, mathematics, sciences
Examples
- 1992 [Prentice-Hall], George H. Duffey, Applied Group Theory: For Physicists and Chemists, 2015, Dover, Unabridged Republication, page 284, The special unitary group in two dimensions is represented by the 2 X 2 unitary matrices whose determinants equal 1.
- 2004, Roger Cooke (translator), Vladimir I. Arnold, Lectures on Partial Differential Equations, [1997, Lekstii ob uravneniyakh s chastnymi proizvodnymi], Springer, page 81, When n = 3, the group of rotations SO(3) is isomorphic to the real three-dimensional projective space RP3. It has a two-sheeted covering by the three-dimensional sphere (the group of unit quaternions), which in turn is isomorphic to the special unitary group SU(2), also known as the spin group of order 3, as in the following diagram
Meaning relationships
Synonyms: none provided
Antonyms: none provided