Title: Larson-Sweedler theorem and some properties of discrete type in (G-cograded) multiplier Hopf algebras
Authors: Van Daele, Alphons ×
Wang, SH #
Issue Date: 2006
Publisher: Taylor & francis inc
Series Title: Communications in algebra vol:34 issue:6 pages:2235-2249
Abstract: We extend the Larson-Sweedler theorem to group-cograded multiplier Hopf algebras introduced in Abd El-hafez et al. (2004), by showing that a group-cograded multiplier bialgebra with finite-dimensional unital components is a group-cograded multiplier Hopf algebra if and only if it possesses a nondegenerate left cointegral. We also generalize the theory of multiplier Hopf algebras of discrete type in Van Daele and Zhang (1999) to group-cograded multiplier Hopf algebras. Our results are applicable to Hopf group-coalgebras in the sense of Turaev (2000). Finally, we study regular multiplier Hopf algebras of eta -discrete type.
ISSN: 0092-7872
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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