We present a construction of non-trivial self-dual Hopf algebras over a field $\k$ obtained by a double extension process. The construction is not symmetric: it involves a 2-cocycle which, under a certain coboundary condition, disappears in the dual structure. We present several explicit examples in low dimensions; we recover families of examples introduced by S. Gelaki and R. Williams.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
6
号
1
ページ
181 - 215
発行年
1999
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1683313
Mathmatical Subject Classification
16W30(MSC1991)
17B37(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
Examples of Self-Dual Hopf Algebras
jms060108.pdf
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