Understanding restriction to K
نویسنده
چکیده
Suppose G is a real reductive Lie group, with maximal compact subgroup K. The representation theory of K is well-understood and well-behaved: K̂ is a countable discrete set consisting of finite-dimensional representations (δ, Eδ). If (π, V ) is a quasisimple irreducible representation of G, HarishChandra proved that each irreducible representation of K appears at most finitely often in V ; so there is a multiplicity function
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