On the simplicity of some semisimple Hopf algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 191-195
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.
@article{FPM_2008_14_5_a13,
author = {E. G. Puninskiy},
title = {On the simplicity of some semisimple {Hopf} algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {191--195},
year = {2008},
volume = {14},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a13/}
}
E. G. Puninskiy. On the simplicity of some semisimple Hopf algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 191-195. http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a13/
[1] Artamonov V. A., “O poluprostykh konechnomernykh algebrakh Khopfa”, Mat. sb., 198:9 (2007), 3–28 | MR | Zbl
[2] Artamonov V. A., Chubarov I. A., “Dual algebras of some semisimple finite-dimensional Hopf algebras”, Modules and Comodules, Proc. Int. Conf., Dedicated to Robert Wisbauer on the Occasion of His 65th Birthday (Porto, Portugal, September 6–8, 2006), Trends Math., eds. T. Brzeziński et al., Birkhäuser, Basel, 2008, 65–85 | Zbl
[3] Artamonov V. A., Chubarov I. A., “Properties of some semisimple Hopf algebras”, Proc. Conf. on Algebras, Representations and Applications, Contemp. Math., eds. V. Futorny, V. Kac, I. Kashuba, E. Zelmanov, Amer. Math. Soc. | MR