Abstract
Here we discuss the representation theory of the compact Lie groups U(n), SU(n), SO(n)1. We shall describe algorithms to determine the weights of a given representation ϑ in the sense of Cartan’s method (thus generalizing Sections 4.3 and 4.4). This also allows us to determine the irreducible representations constituting ϑ. We shall frequently omit the proofs, referring to the literature instead.
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© 1992 Springer Science+Business Media New York
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Fässler, A., Stiefel, E. (1992). Unitary and Orthogonal Groups. In: Group Theoretical Methods and Their Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0395-7_9
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DOI: https://doi.org/10.1007/978-1-4612-0395-7_9
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6742-3
Online ISBN: 978-1-4612-0395-7
eBook Packages: Springer Book Archive