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Journal of Mathematical Sciences

, Volume 131, Issue 2, pp 5508–5519 | Cite as

Finite Factor Representations of 2-Step Nilpotent Groups and the Orbit Method

  • K. P. Kokhas
Article
  • 33 Downloads

Abstract

In this paper, we describe factor representations of discrete 2-step nilpotent groups with 2-divisible center in the spirit of the orbit method. We show that some standard theorems of the orbit method are valid for these groups. In the case of countable 2-step nilpotent groups we explain how to construct a factor representation starting with an orbit of the “coadjoint representation.” We also prove that every factor representation (more precisely, every trace) can be obtained by this construction, and prove a theorem on the decomposition of a factor representation restricted to a subgroup. Bibliography: 7 titles.

Keywords

Nilpotent Group Factor Representation Orbit Method Standard Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • K. P. Kokhas
    • 1
  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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