Semisolvability of semisimple Hopf algebras of low dimension
著者
書誌事項
Semisolvability of semisimple Hopf algebras of low dimension
(Memoirs of the American Mathematical Society, no. 874)
American Mathematical Society, 2007
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注記
"March 2007, volume 186, number 874 (fourth of five numbers)"
Bibliography: p. 121-123
内容説明・目次
内容説明
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.
目次
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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