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arXiv 2015-11-03 0 views

A Poisson Hopf algebra related to a twisted quantum group

Oh, Sei-Qwon

Original · EN

A Poisson algebra C[G] considered as a Poisson version of the twisted quantized coordinate ring Cq,ₚ[G], constructed by Hodges, Levasseur and Toro in HoLeT, is obtained and its Poisson structure is investigated. This establishes that all Poisson prime and primitive ideals of C[G] are characterized. Further it is shown that C[G] satisfies the Poisson Dixmier-Moeglin equivalence and that Zariski topology on the space of Poisson primitive ideals of C[G] agrees with the quotient topology induced by the natural surjection from the maximal ideal space of C[G] onto the Poisson primitive ideal space.

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