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Classification of Finite Factor Representations of the $(2m+1)$-Dimensional Heisenberg Group over a Countable Field of Finite Characteristic

K. P. Kokhas'

Saint-Petersburg State University

Abstract: For a field $F$ that is the direct limit of an increasing chain of finite fields, we describe the Bratteli diagram, the finite complex factor representations, the Plancherel formula, and the projective modules of the corresponding Heisenberg group.

Keywords: factor representation, Heisenberg group, nilpotent group, Grothendieck group.

UDC: 517.986

Received: 10.05.2002

DOI: 10.4213/faa210

 English version: Functional Analysis and Its Applications, 2002, 36:3, 236–239

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