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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 283, Pages 140–155 (Mi znsl1527)

This article is cited in 2 papers

The classification of complex factor-representations of the 3-dimensional Heisenberg group over countable field of finite characteristics

K. P. Kokhas'

St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: We consider the field $F$ which is a direct limit of increasing chain of finite fields. We describe Bratteli diagram, complex factor-representations and projective moduli of the Heisenberg group of $3\times3$ upper-triangular matrices with elements from $F$.

UDC: 512.54

Received: 30.10.2001


 English version:
Journal of Mathematical Sciences (New York), 2004, 121:3, 2371–2379

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