Geodesic
Properties of Semisimple Hopf Algebras
Matematičeskie zametki, Tome 96 (2014) no. 3, pp. 325-332

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Semisimple finite-dimensional Hopf algebras all of whose non-one-dimensional irreducible modules of the same dimension are isomorphic are considered. The one-dimensional submodules of the tensor squares of irreducible modules are indicated and the almost cocommutative Hopf algebras and the left ideal coideals are described.
Keywords: semisimple Hopf algebra, cocommutative Hopf algebra, irreducible module. 
@article{MZM_2014_96_3_a1,
     author = {V. A. Artamonov},
     title = {Properties of {Semisimple} {Hopf} {Algebras}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {325--332},
     publisher = {mathdoc},
     volume = {96},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_3_a1/}
}
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V. A. Artamonov. Properties of Semisimple Hopf Algebras. Matematičeskie zametki, Tome 96 (2014) no. 3, pp. 325-332. http://geodesic.mathdoc.fr/item/MZM_2014_96_3_a1/