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Title
ON THE DUAL OF AN ALGEBRAIC QUANTUM GROUP
Type of Research Article
Keywords
Keywords: Hopf algebras, Multiplier Hopf algebras, Algebraic quantum groups.
Abstract
An algebraic quantum group is a regular multiplier Hopf algebra  with a non-zero left invariant functional on it. There is a natural subspace  of the space of all linear functionals on , carrying the structure of a non-degenerate algebra. In this paper, for any algebraic quantum group  and its dual  , we introduce an injective linear map from  to the multiplier algebra of    and show this map makes  into a left  comodule.
Researchers Ghorbanali Haghighatdoost Bonab (First Researcher)، Yousef Zamani (Second Researcher)، Hami Abbasi Makrani (Third Researcher)