Timeline for Unitary dual of the Heisenberg group over non-archimedean local fields of characteristic two

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Feb 7, 2017 at 2:34	history	edited	m07kl	CC BY-SA 3.0	added 119 characters in body
Feb 5, 2017 at 10:21	comment	added	m07kl		@VictorProtsak: You are right. I guess the unitary dual has the same structure even for local fields of characteristic two. please see section 1.2 of V. Lafforgue's paper: "vlafforg.perso.math.cnrs.fr/haagerup-rem.pdf" for an evidence
Feb 5, 2017 at 10:18	history	edited	m07kl	CC BY-SA 3.0	added 7 characters in body
Feb 5, 2017 at 2:59	comment	added	Victor Protsak		Note that, strictly speaking, the unitary dual is not "the same as for [the] real Heiseberg group", because the central character is a unitary character of $k$, and so depends on the field. (Likewise, the unitary representations with trivial central character are one-dimensional, hence are parametrized by the Pontryagin dual of $k^2$, and so depend on $k$). Perhaps, you can say that, for appropriate fields $k$, the unitary dual has the same structure, namely, there is a unique irreducible complex unitary representation for any non-trivial unitary character of $k$.
Feb 5, 2017 at 1:48	history	edited	m07kl		edited tags
Feb 5, 2017 at 1:41	history	asked	m07kl	CC BY-SA 3.0