Geodesic
Hopf Subalgebras and Hopf Ideals of Certain Semisimple Hopf Algebras
Matematičeskie zametki, Tome 92 (2012) no. 6, pp. 904-911 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper, for semisimple Hopf algebras that have only one non-one-dimensional irreducible representation, all Hopf ideals are described and, under some restriction concerning the number of group elements in the dual Hopf algebra, some series of Hopf subalgebras are found. Moreover, the quotient Hopf algebras of these semisimple Hopf algebras are described.
Keywords: Hopf algebra, dual Hopf algebra, irreducible representation, projective representation.
Mots-clés : semisimple decomposition, quotient Hopf algebra 
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     title = {Hopf {Subalgebras} and {Hopf} {Ideals} of {Certain} {Semisimple} {Hopf} {Algebras}},
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R. B. Mukhatov. Hopf Subalgebras and Hopf Ideals of Certain Semisimple Hopf Algebras. Matematičeskie zametki, Tome 92 (2012) no. 6, pp. 904-911. http://geodesic.mathdoc.fr/item/MZM_2012_92_6_a10/

[1] V. A. Artamonov, “O poluprostykh konechnomernykh algebrakh Khopfa”, Matem. sb., 198:9 (2007), 3–28 | DOI | MR | Zbl

[2] V. A. Artamonov, I. A. Chubarov, “Dual algebras of some semisimple finite-dimensional Hopf algebras”, Modules and Comodules, Trends Math., Birkhäuser-Verlag, Basel, 2008, 65–85 | MR | Zbl

[3] V. A. Artamonov, I. A. Chubarov, “Properties of some semisimple Hopf algebras”, Algebras, Representations and Applications, Contemp. Math., 483, Amer. Math. Soc., Providence, RI, 2009, 23–36 | MR | Zbl

[4] R. B. Mukhatov, “O poluprostykh konechnomernykh algebrakh Khopfa”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2011, no. 1, 60–63 | MR