Semisolvability of Semisimple Hopf Algebras of Low Dimension (Memoirs of the American Mathematical Society)
By: Sonia Natale (author) Paperback
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The author proves that every semisimple Hopf algebra of dimension less than $60$ over an algebraically closed field $k$ of characteristic zero is either upper or lower semisolvable up to a cocycle twist.
Contents Introduction and main results Conventions and notation Semisimple Hopf algebras The Nichols-Richmond theorem Quotient coalgebras Braided Hopf algebras Cocycle deformations of some Hopf algebras Dimension $24$ Dimension $30$ Dimension $36$ Dimension $40$ Dimension $42$ Dimension $48$ Dimension $54$ Dimension $56$ Appendix A. Drinfeld double of $H 8$ Appendix. Bibliography.
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