Crossed Products of Commutative Finite Hypergroups

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概要

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• This paper is devoted to giving a definition of crossed product K⋊αG of a commutative finite hvpergroup K under an action of a finite abelian group G. We begin by constructing the dual of the crossed product K⋊αG, modified with fusion rules of representations of a semi-direct product group. Next, taking its dual, we get the desired crossed product K⋊αG. For a semi-direct product N⋊αG of a finite abelian group N by an action α of a finite abelian group G, we show that the class hypergroup K(N⋊αG) is equal to the crossed product K(N)⋊αG of the hypergroup K(N) by G.

• 奈良教育大学の論文

著者

• 河上 哲

  Department Of Mathematics Nara University Of Education

関連論文

• Crossed Products of Commutative Finite Hypergroups

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