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- W2697152373 abstract "In this paper, we consider the Drinfeld double $D$ of a $12$-dimensional Hopf algebra $C$ over an algebraically closed field of characteristic zero whose coradical is not a subalgebra and describe its simple modules, projective covers of the simple modules and show that it is of wild representation type. Moreover, we show that the Nichols algebras associated to non-simple indecomposable modules are infinite-dimensional. In particular, for any object $V$ in $CYD$, if $BN(V)$ is finite-dimensional, then $V$ must be semisimple. Finally, we describe the Nichols algebras associated to partial simple modules in terms of generators and relations. As a byproduct, we obtain some Hopf algebras of dimension $72$ without the Chevalley property, that is, the coradical is not a subalgebra." @default.
- W2697152373 created "2017-06-30" @default.
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- W2697152373 date "2016-12-15" @default.
- W2697152373 modified "2023-09-28" @default.
- W2697152373 title "Some Hopf algebras of dimension $72$ without the Chevalley property" @default.
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