The Heisenberg Group
In this chapter we prove the Stone-von Neumann Theorem, which gives a full characterization of the unitary dual of the Heisenberg group H. We then apply the trace formula to describe the spectral decomposition of L2(Λ∖H), where Λ is the standard integer lattice in H.
KeywordsConjugacy Class Unitary Representation Heisenberg Group Central Character Trace Formula
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