Abstract
Two new series of Hopf algebras were discovered by V. A. Artamonov. The following paper gives a negative answer to N. Andruskiewitsch’s question about simplicity of these series.
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V. A. Artamonov, “On semisimple finite-dimensional Hopf algebras,” Mat. Sb., 198, No. 9, 3–28 (2007).
V. A. Artamonov and I. A. Chubarov, “Dual algebras of some semisimple finite-dimensional Hopf algebras,” in: T. Brzeziński, ed., et al., Modules and Comodules, Proc. Int. Conf., Porto, Portugal, September 6–8, 2006, Dedicated to Robert Wisbauer on the Occasion of His 65th Birthday, Birkhäuser, Basel (2008), Trends Math., pp. 65–85.
V. A. Artamonov, and I. A. Chubarov, “Properties of some semisimple Hopf algebras,” in: V. Futorny, V. Kac, I. Kashuba, and E. Zelmanov, eds., Proc. Conf. on Algebras, Representations and Applications, Amer. Math. Soc., Contemp. Math.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 5, pp. 191–195, 2008.
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Puninskiy, E.G. On the simplicity of some semisimple Hopf algebras. J Math Sci 163, 755–758 (2009). https://doi.org/10.1007/s10958-009-9713-7
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DOI: https://doi.org/10.1007/s10958-009-9713-7