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Matematicheskie Zametki, 2014, Volume 96, Issue 3, Pages 325–332
DOI: https://doi.org/10.4213/mzm10312 (Mi mzm10312) 		 
Properties of Semisimple Hopf Algebras

V. A. Artamonov

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm10312
Abstract: 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.
Received: 12.05.2013
Revised: 22.09.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 3, Pages 309–316
DOI: https://doi.org/10.1134/S0001434614090028
Bibliographic databases:
Document Type: Article
UDC: 512.667.7
Language: Russian
Citation: V. A. Artamonov, “Properties of Semisimple Hopf Algebras”, Mat. Zametki, 96:3 (2014), 325–332; Math. Notes, 96:3 (2014), 309–316
Citation in format AMSBIB
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