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• W2398840282 abstract "We define the universal quantum group $mathcal{H}$ that preserves a pair of Hopf comodule maps, whose underlying vector space maps are preregular forms defined on dual vector spaces. This generalizes the construction of Bichon and Dubois-Violette (2013), where the target of these comodule maps are the ground field. We also recover the quantum groups introduced by Dubois-Violette and Launer (1990), by Takeuchi (1990), by Artin, Schelter, and Tate (1991), and by Mrozinski (2014), via our construction. As a consequence, we obtain an explicit presentation of a universal quantum group that coacts simultaneously on a pair of $N$-Koszul Artin-Schelter regular algebras with arbitrary quantum determinant." @default.
• W2398840282 created "2016-06-24" @default.
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• W2398840282 date "2016-05-20" @default.
• W2398840282 modified "2023-09-27" @default.
• W2398840282 title "On quantum groups associated to a pair of preregular forms" @default.
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• W2398840282 doi "https://doi.org/10.48550/arxiv.1605.06428" @default.
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