Commutator Hopf subalgebras and irreducible representations

Details Commutator Hopf subalgebras and irreducible representations Commutator Hopf subalgebras and irreducible representations

2005-07-13

arxiv.org/abs/math/0507253v2

Mathematics

Rings and Algebras

Revised. Examples Added. To appear in Communications in Algebra. 7 pages; AMS-TeX

Scientific paper

S. Montgomery and S. Witherspoon proved that upper and lower semisolvable,
semisimple, finite dimensional Hopf algebras are of Froebenius type when their
dimensions are not divisible by the characteristic of the base field. In this
note we show that a finite dimensional, semisimple, lower solvable Hopf algebra
is always of Froebenius type, in arbitrary characteristic.

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