Properties of Semisimple Hopf Algebras

V. A. Artamonov

M. V. Lomonosov Moscow State University

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.

UDC: 512.667.7

Received: 12.05.2013
Revised: 22.09.2013

DOI: 10.4213/mzm10312

 English version: Mathematical Notes, 2014, 96:3, 309–316

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