Generalized Euler angle parametrization for \(\text{SU}(N)\). (English) Zbl 1047.22012
The authors generalize their previous results for SU(4) and give an explicit Euler angle parametrization for \(\text{SU}(N)\). They use it to calculate the Haar measure and the group volume.
Reviewer: Evelyn Weimar-Woods (Berlin)
MSC:
22E46 | Semisimple Lie groups and their representations |
28C10 | Set functions and measures on topological groups or semigroups, Haar measures, invariant measures |
43A05 | Measures on groups and semigroups, etc. |
81R05 | Finite-dimensional groups and algebras motivated by physics and their representations |