Note on Heisenberg Characters of Heisenberg Groups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 2018 English Publisher:Accademia Piceno Aprutina dei VelatiJournal:Ratio Mathematica (issn: 1592-7415,

Authors: Alieh Zolfi; Ali Reza Ashrafi;

doi: 10.23755/rm.v35i0.429

Note on Heisenberg Characters of Heisenberg Groups

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Abstract

An irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three other types of infinite Heisenberg groups are computed.

Related Organizations

University of Kashan
Iran (Islamic Republic of)

Keywords

QA1-939, Heisenberg character, Heisenberg group, Probabilities. Mathematical statistics, Mathematics, QA273-280

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