Unitary and Orthogonal Groups

Albert Fässler and Eduard Stiefel
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Albert Fässler: Ecole d’Ingénieurs Bienne, Ingenieurschule Biel
Eduard Stiefel: Eidgenössische Technische Hochschule ETH, Department of Mathematics

Chapter Chapter 9 in Group Theoretical Methods and Their Applications, 1992, pp 239-263 from Springer

Abstract: 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.

Keywords: Irreducible Representation; Weyl Group; Fundamental Domain; Orthogonal Group; Complete Reduction (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-1-4612-0395-7_9

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