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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.

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