Suppose G = G(R) is the group of real points of a complex connectedreductive algebraic group, and K is a maximal compact subgroup ofG. The classical branching problem in this setting is to determinethe restriction to K of a standard representation of G. Implicit inthe branching problem are the problems of parametrizing both ir-reducible representations of K and standard representations of G.We address these three problems, looking for answers amenable tocomputer implementation.
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