Inductive Algebras for Finite Heisenberg Groups: Communications in Algebra: Vol 38, No 2

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Abstract

A characterization of the maximal abelian sub-algebras of matrix algebras that are normalized by the canonical representation of a finite Heisenberg group is given. Examples are constructed using a classification result for finite Heisenberg groups.

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Communicated by D. Nakano.

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Inductive Algebras for Finite Heisenberg Groups

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