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- Title
Centralizers of maximal tori in the classical group SU(n).
- Authors
Najjari, Vadoud
- Abstract
In this paper after reviewing maximal tori in a Lie group, we define some new families of matrices, also some notations and a few conventions for them. Then after defining homomorphism ΦM(from Tκ to Tn), we find the centralizers of ΦM such that M consist of only one PM-block. In general, matrices in the centralizer of ΦM won't be in SU(n) however, we will find conjugates that are. Also we characterize the maximal tori of the classical group SU(n), and finally we calculate centralizers of this classical group.
- Subjects
MATRICES (Mathematics); HOMOMORPHISMS; LIE groups; MAXIMAL ideals; SU(N) symmetries
- Publication
General Mathematics, 2014, Vol 22, Issue 2, p37
- ISSN
1221-5023
- Publication type
Article