Abstract
We consider a field F that is a direct limit of an increasing chain of finite fields, and describe the Bratteli diagram, complex factor-representations, and projective moduli of the Heisenberg group of 3 × 3 upper-triangular matrices with elements from F. Bibliography: 3 titles.
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REFERENCES
A. M. Vershik and S. V. Kerov, “Locally semisimple algebras. Combinatorial theory and the K 0-functor,” Itogi Nauki Tekhniki, 26, 3–56 (1985).
A. M. Vershik and K. P. Kokhas, “Calculation of the Grothendieck group of the algebra C(PSL(2, κ)), where k is a countable algebraically closed field,” Algebra Analiz, 2,No. 6, 98–106 (1990).
R. Lidl and H. Niederreiter, “Finite fields,” in: Encyclopedia of Mathematics and Its Applications, 20, Addison-Wesley Publishing Company, Reading (1983).
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Kokhas, K.P. The Classification of Complex Factor-Representations of the Three-Dimensional Heisenberg Group over a Countable Group Field of Finite Characteristic. Journal of Mathematical Sciences 121, 2371–2379 (2004). https://doi.org/10.1023/B:JOTH.0000024618.55526.48
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DOI: https://doi.org/10.1023/B:JOTH.0000024618.55526.48