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Commutator Hopf subalgebras and irreducible representations

Letzter, ES
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Genre
Journal Article
Date
2007-07-01
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finite dimensional
 Frobenius type
 Hopf algebra
 Kaplansky conjecture
 solvable
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http://hdl.handle.net/20.500.12613/6097
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0507253v2.pdf
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DOI
10.1080/00927870701302198
Abstract
Montgomery and Witherspoon proved that upper and lower semisolvable, semisimple, finite dimensional Hopf algebras are of Frobenius 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 Frobenius type, in arbitrary characteristic.
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Informa UK Limited
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Communications in Algebra
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