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- W4386211629 abstract "We study Yetter-Drinfeld modules over Nichols systems to generalize results about Verma modules in the represation theory of Lie algebras to Nichols algebras of group type. We construct and study reflections of such objects and obtain geometric properties of their support. In particular we study a subcategory obtained by inducing comodules of Nichols systems. Finally we study the maximal subobject and irreducibility of such Yetter-Drinfeld modules. To do so we introduce a special morphism that we name Shapovalov morphism, to generalize a polynomial called Shapovalov determinant. We will study its properties and behavior under reflections." @default.
- W4386211629 created "2023-08-29" @default.
- W4386211629 creator A5088504859 @default.
- W4386211629 date "2023-08-28" @default.
- W4386211629 modified "2023-10-17" @default.
- W4386211629 title "Yetter-Drinfeld modules over Nichols systems: reflections, induced objects and maximal subobject" @default.
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- W4386211629 doi "https://doi.org/10.1080/00927872.2023.2248518" @default.
- W4386211629 hasPublicationYear "2023" @default.
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