Alieh Zolfi, Али Реза Ашрафи
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.
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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.
Key concepts: Heisenberg group, Character (mathematics), Heisenberg model, Quaternion, Heisenberg picture, Mathematics, Geometric quantization, Physics