Examples of Self-Dual Hopf Algebras

J. Math. Sci. Univ. Tokyo
Vol. 6 (1999), No. 1, Page 181--215.

Andruskiewitsch, Nicolás ; Natale, Sonia
Examples of Self-Dual Hopf Algebras
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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.

Keywords: Hopf algebras

Mathematics Subject Classification (1991): Primary 16W30; Secondary 17B37
Mathematical Reviews Number: MR1683313

Received: 1998-06-09