Andruskiewitsch–Schneider's generation conjecture for finite-dimensional pointed Hopf algebras
Andruskiewitsch–Schneider's generation conjecture for finite-dimensional pointed Hopf algebras
Assume that is an algebraically closed field of characteristic zero. A Hopf algebra is pointed when its coradical is spanned by grouplike elements; its grouplike and skew primitive elements are the elements used to generate the Hopf algebra as an algebra. Andruskiewitsch–Schneider's conjecture. Every finite-dimensional pointed Hopf algebra over is generated by its grouplike and skew primitive elements. This conjecture asserts that the characteristic-zero finite-dimensional case has the generation property that fails for some infinite-dimensional pointed examples. One case was established by Angiono, namely finite-dimensional pointed Hopf algebras over an algebraically closed field of characteristic zero.
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Primary source
K. R. Goodearl, “Noetherian Hopf algebras”, arXiv:1201.4854 (2012).
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