- #1
BlackBaron
- 30
- 0
Is there any general method to construct the generators of a SU(n) group?
Originally posted by BlackBaron
Is there any general method to construct the generators of a SU(n) group?
An SU(n) group, also known as a special unitary group, is a mathematical group that consists of all n-by-n unitary matrices with determinant equal to 1.
SU(n) groups are important in mathematics because they are used to study symmetry and transformations in various fields, such as physics, chemistry, and computer science.
SU(n) groups are special in that they are both unitary and have a determinant of 1, which means they preserve length and volume in transformations. This makes them useful for studying physical systems.
An example of an SU(2) group is the group of 2-by-2 unitary matrices with determinant 1, such as [[eiθ, 0],[0, e-iθ]], where θ is a real number.
SU(n) groups are used in physics to study symmetries and transformations of physical systems. For example, in quantum mechanics, SU(2) groups are used to describe the symmetries of spin systems.