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arXiv · 1511.00783

A Poisson Hopf algebra related to a twisted quantum group

Sei-Qwon Oh
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Abstract

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

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Sei-Qwon Oh. 2015-11-03. A Poisson Hopf algebra related to a twisted quantum group. https://arxiv.org/abs/1511.00783

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