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In mathematics, the special unitary group of degree n, denoted SU (n), is the Lie group of n × n unitary matrices with determinant 1.
In the study of the representation theory of Lie groups, the study of representations of SU (2) is fundamental to the study of representations of semisimple Lie groups. It is the first case of a Lie group that is both a compact group and a non-abelian group.
1 Απρ 2021 · You have the group of unitary matrices U(2) U ( 2), and you have the generators of that group, which constitute an algebra. It's important not to get these things confused.
8 Ιουλ 2024 · The special unitary group SU_n (q) is the set of n×n unitary matrices with determinant +1 (having n^2-1 independent parameters). SU (2) is homeomorphic with the orthogonal group O_3^+ (2). It is also called the unitary unimodular group and is a Lie group.
22 Νοε 2020 · In mathematics, the special unitary group of degree n, denoted SU ( n ), is the group of n × n unitary matrices with determinant 1. The group operation is that of matrix multiplication.
SU(2) describes spin angular momentum. SU(2) is isomorphic to the description of angular momentum – SO(3). SU(2) also describes isospin – for nucleons, light quarks and the weak interaction. We see how to describe hadrons in terms of several quark wavefunctions.
Representations of su(2) 2.1 Alternative methods. e-to-one correspondence. The representations of SU(2) are the representations in the space Vj of homogeneous polynomials in z; w 2 C of degree 2j induced by the natural action.
